A pilot intends to fly a plane from point $A$ to point $B$. Due to strong winds, she points the nose of the plane in the direction shown by the vector $P$. Which of the choices below best represents the direction of the wind encountered by the plane?

  Which of the following is a us,uvke)w9 k0vector quantity?

  The diagram below shows a car of mass m descendcy9 ri9q7x)xaqq lk.9ing a slope. The car, initially at rest, coversqaqx 7yrcki 99x9)ql. a distance of $27\,m$ in $3.0\,s$

The magnitude of the acceleration is given by

  An object moves at constant velocity for a period o m4:*qi e/pxabf time, after which it undergoes uniform deceleration until it comes to rest. A velocity-time graph is plotted for taxi*m/bpq:e4 his motion. On the graph, which of the following represents the displacement of the object?

  A ball rolls horizontally off the edge of the t(77ww f p/7er*h)ohrpgjq0nfljy1 )a op of a cliff. It hits the ground at a distance j y)g/w(77a 0wrrn7hep*hoj)pl 1fq f $2.0\,m$ from the base of the cliff with a vertical speed of $20\,m\,s^{-1}$. What is the height of the cliff?

  A basketball is launched at an angle and undergoes projectile motioz5 +w- 13/wql/v fl 3cstrttavn. Air resistance is negligible. Which of the following is correct for the direction of its velocity vector and its acceleration vecct/ vl/qlr3aztfs-+wv 31 wt5tor at the highest point of its trajectory?
what's the direction of velocity vector direction of acceleration vector respectively?

  A coin is tossed vertically upwards from a height of 1.5 m. What is the maxwc de 8 eq0yh 1-imxf2*yvwdx; yr*0b6imum height reached above the ground bdv wexm y*1x062d0w qc;ey h*-rif8yif the coin was projected with an initial velocity of $3.0\,m\,s^{-1}$? (Take $g=10\,m\,s^{-2}$)

  The take off speed of a passenger aircraf:m0jv hhdk8o(;n;u gkt is $75.0\,m\,s^{-1}$ . A plane starts from rest and accelerates at a steady rate of $1.25\,m\,s^{-2}$. What is the minimum duration of taxiing   $s$, and the minimum length of the runway needed for the take off   $m$?

  A ball is projected in an environment wh4:qsgf gj*or 0ere air resistance can be ignored


Which graph shows thevariation of the resultant force R acting on the ballwith the height h of the object?

  The graph shows the variation with time t of the velocity v jox:-;yt5jh iqbih4 a 48ypm8 of a car traveling along a straiibxoi-4 8tyjjm;p58h:a qyh4ght and level road.

What time does it take for the car to travel a distance of 31.5 m from t = 0?

  The graph shows the variation of velocity v with ye*ky 3;5 cm2kp pku.ptime t of a car.

Which of the following can be deduced from the graph?
I. Displacement
II. Acceleration
III. Change in velocity

  A ball is projected with an initial speed1q hjgv2l+gy0 of $2\,m\,s^{-1}$
making an angle of $35^{\circ}$with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

  An object moves 9m eaqica4;rg :+.ahqchr +st, then $12\,m$ north.
What is the magnitude of the total displacement of this object?

  An object moves in a straight line on a level road. The variareqcq clo e*-f: qpaz2:k*+lx/4bw -ption of the object's distance d wa e foqzp+p*c2-lkqe 4lb /c*w-:x:rqith time t is shown on the graph below


1. During the interval of $t=0.5\,s$ and $t=1.0\,s$, the object  ----待选择----speeds upslows down 
2. Calculate the instantaneous speed of the object at $t=0.5\,s$ the answer is $v$ =    $m/s$
3. Determine the direction of the change in momentum of the object during the motion.  ----待选择----positivenegative 

4. On the axes below, sketch a possible graph of the variation of velocity v of the object with time t. There is no need to add values to the axes.

  A projectile is fired at an angle above the h8o;xlg6 mj:kz i+.p1 ir )eawcorizontal on the surface of Moon. Which of the following statements is correct about its motiiwijxlpak.z)o ; 1:e6 cm 8+gron

  A football player kicks a ball initially at rest. The ball reaches a speed of 36$\,km\,h^{-1}$
in a time of 0.5 s. Which of the following is the acceleration of the ball in terms of the gravitational acceleration, g?

  A projectile is fired with a launch angle α above the horizontal and an initial velocity of 40 $m\,s^{-1}$
towards a cliff that rises 300 m above the plane of projection. The cliff is 120 m from the launch point.


Assuming that air resistance has no effect on the motion, then the time of flight taken by the projectile to reach the plane of the cliff, is given by

  A cargo container is released from an airplane. A parachute is opened remotely a few seconds later to land it safely. Which graph shows the variation of the vertical acceleration with time t for the cargo container from when it leaves the plane until landing?

  A student throws a ballq58m8ix ieg,y s n-mfp; (k3zh with an initial velocity in the horizontal direction. Air resistance is negligible. At t=2.0 s, the ball has travelled a distance x in the horiznf hi53;8mm gzpyik(es,q-8x ontal direction and a distance y in the vertical direction.
What are the horizontal and vertical distances covered at t=1.0 s, in terms of x and y?

  1.(1)Define acceleration.

(2)A car is moving on a straight road. The variation of the car's velocity v with time t is seen in the graph below.

Describe, in terms of acceleration, the motion of the car.
2.A truck with a speed of $20\,m\,s^{−1}$ passes by a stationary car. The car starts to move with an acceleration of $4\,m\,s^{−2}$ just as the truck goes past. Both of the vehicles move in the same direction.

(1)Show that the time needed for the car to overtake the truck is 10 s. t =    s
(2)On the graph below, draw the variation in speed of both vehicles with time during the first 10 seconds of the motion and comment about the areas under the graphs without calculation.

(3)In an accident scene, skid marks of a car stretching 100 m are found. According to the manufacturer of the car’s tires, the deceleration that the car experiences with skidding tires is $5 \,m\,s^{−2}$. u=    $,s^{-1}$

Determine whether the car exceeded the speed limit of $72\,km\,h^{−1}$.

  A small object is fired hogc o/xht/ .*wz5 b (6sur4ygtzrizontally at a speed of $300\,m\,s^{−1}$ from the top of a building. Air resistance is negligible. The object lands 900 m from the base of the building. What is the height of the building?

  The graph shows how the speed v of a car varies with time t.


1.State the difference between average and instantaneous accelerations.
2.Calculate the instantaneous acceleration of the car at t=1.0 s. The gradient of the tangent line =    $m\,s^{-1}$
3.Determine, with explanation, whether the car covers more distance before or after the car reaches a constant speed.

  An object is moving in a straight line. The graph shows the variation of the velocity v of the object with time t.

  The motion of an object released from a high place in a vacuum is observed. The variation of its velocity with time is recorded and the following graph is obtained.


1.Discuss the role that observations play in the development of scientific understanding.
2.Other than velocity and time, list two quantities that can be obtained from the graph.
3.(1)The height of the release point is 70 m. Show that the speed $v_1$​ of the object just before the contact with the ground is $37\,m\,s^{−1}$. $v_1$ =    $m\,s^{-1}$
(2)The object rebounds from the ground with a speed $v_2$​ of $17\,m\,s^{−1}$. The mass of the object is 8.0 kg and the contact time during the rebound is 0.50 s. $F_N$ =    N
Calculate the average force acting on the object from the ground.

  The position of a body is located with a motion detector at constant time intervals.

The distance between two successive positions of the body is given in terms of a constant d. Which of the following graphs could be the variation of velocity v of the body with time t?

  The variation of displacement of a trolley with time t is shown on the graph below.


The magnitudes of the instantaneous velocities of the trolley at times $t_1$​ and $t_2$​ are $v_1$​ and $v_2$​ respectively. Which of the following correctly compares the instantaneous velocities with the magnitude of the average velocity of the trolley for the whole of the motion shown?

  A ball is released from rest at a height h above the ground. At each bounce At each bounce 75% of its kinetic energy is lost. Which graph represents the variation of the ball's velocity v with time t from the beginning of motion until the moment just before the third bounce? Assume the acceleration of the ball is in in the negative direction and that air resistance is negligible.

  A ball is released from rest and falls vertically for 3 seconds on Earth. Air resistance is negligible. What is the average speed of the ball during the motion?

  1.State the difference between distance and displacement.

2.A dart player throws a dart horizontally with the speed of $5\,m\,s^{−1}$ to hit a dartboard. The vertical displacement of the dart is $0.35\,m$. Air resistance is negligible.

(1)Show that the time taken for the dart to reach the centre of the dartboard is approximately 0.3 s. t =    s
(2)Calculate the angle to the horizontal, in degrees, of the velocity of the dart as it hits the dartboard. θ =    $^{\circ}C$
(3)Determine the displacement of the dart. s =    m
(4)On the axes below, sketch how the square of the velocity $v^2$ of the dart varies with the square of time $t^2$.
(no need to add values on the axes)

  1.Define displacement.

2.A table tennis ball is thrown horizontally from the top of a building. The variation of the ball's horizontal displacement s with time t is shown on the graph below.

(1)State which quantity is given by the gradient of the tangent to the graph at any time during the motion.
(2)On the graph below, sketch the expected variation of horizontal displacement with time when air resistance is ignored. The original curve is given as a dashed line.

(3)A stone is then launched with a horizontal speed of $20\,m\,s^{−1}$ from a height of 12 m above the ground. s =    m

Determine the magnitude of the displacement of the stone when it hits the ground if air resistance is considered to be negligible.

  In an experiment, the free-fall of a ball bearing is used to measure the acceleration due to gravity. The ball bearing is suspended with an electromagnet. Then it is released from a height of h above a table.





The time t needed for the ball bearing to reach the ground after release is measured. The experiment is repeated for different values of ℎh. The theoretically predicted relationship between time t and h is.
$t^2=\frac{2h}{g}$
(1)State why there is a need to collect data for a range of values of ℎh to verify this relationship.
(2)The experimental data for $t^2$ and h are plotted on the graph below.

(1)Draw the line of best fit for the plotted data on the graph.
(2)Suggest whether the data is consistent with the theoretical prediction.
(3)By using the line of best fit, determine a value for g and state the units. g =    $m\,s^{-2}$
3.The theoretical relationship is for an object falling in a vacuum.
(1)Compare the experimental result to the accepted value of g and suggest a reason for the discrepancy.
(2)State and explain whether the source of error in (c)(i) is a systematic or random error.

  A car moves clockwise in a circular path as shown. The direction of its instantaneous velocity at two different times is shown in the diagram.


Which of the following vectors shows the direction of the change in velocity?

  The graph shows the variation of velocity v of a boqw- +h l)l7egop661tvj/xn uall with time t.

The initial speed of the ball is very high. Which of the following statements could be true for the ball?

  An object is launched with an angle of θ from the ground)- mjwe/o s wsq6y:ay1 amrz72 and an initial velocity s12 y/m)jaqy6mr oe7zws: aw-of v.





Which graph shows the variation of the horizontal component $v_h$​ of the velocity of the object with time t? (Air resistance is not ignored)

  A ball of mass 1.6 kg is dropped from a very high building. The only*yo 0j89rqshej-jc x) forces acting on the ball are the force of gravity and air resistanceq * c9jx0jysoj-)8her. The graph shows the variation of the vertical velocity v of the ball with time t.


1.(1)Define terminal speed.
(2)State the terminal speed of the ball.
2.Estimate the vertical displacement of the ball during the 10.0 s of motion.
3.(1)Calculate the instantaneous acceleration of the ball at t= 2.0 s.
(2)Determine the magnitude of the vertical component of air resistance at t=2.0 s. $F_d$ =    N

  A stream flows east with a speed $v_s$​. A boat points due south and moves with a speed $v_o$​ relative to the water.

The ratio is $\frac{v_o}{v_s}=\frac{1}{2}$
Which of the following is correct about the magnitude in $m\,s^{−1}$ and the angle θ between the velocity of the boat and the side of the stream?

  An object is thrown vertically upwards at the edge of a cliff at height $h$ above the ground. When the object passes the edge of the cliff while falling downwards, a second, identical object is released from rest. Air resistance is negligible. What increases for the second object as the two objects fall?

  A body is moving in a straight line with a constant acceleration of a. Its speed increases from u to v in a time of t. Consider the folloing expressions:

I. $vt+\frac{(v-u)t}{2}$
II. $vt-\frac{1}{2}at^2$
III. $\frac{(v-u)t}{2}$

Which expression(s) can be used to determine the displacement of the body during the time interval t?

  A car is moving on a horizontal road. The variation of vq*n4 +jyye lpa(46phlelocity v of a car with time t can be seen in the graph below. qeyl4lj4*n a+yp 6(hp


Which of the following graphs shows the variation of displacement s of the car with time t?

  A stone is thrown vertically upward in the presence of air resistance.,tulb)5qdh2- aq l-h .tv-uxi Which of the following graphs best shows the variation of velocity v of the stone with time t until it reachehdtv lq-2q-h 5u blxtu ,)-.ais the maximum height above the ground?

  An object is launched horizontah1 1 fpsur q,93/ryksjlly from a height in a vacuum. Which of the following graphs correctly shows how the square of th9y,rf1 u/ s 1krh3qpsje velocity $v^2$ of the object varies with the square of time $t^2$?

  A train, initially at rest, accelerates steadily at $1.0\,ms^{−2}$. The distance travelled during each successive second, for the first five seconds of its motion, was recorded in meters. Which of the following correctly represents the distance covered in each successive second?
(Diagram is not to scale)