AP Physics1_在线真题试卷与模拟练习_AP Physics1

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A ball is thrown so that its initial vertical and horizontal components of velocity are 40 m/s and 20 m/s, respectively.

Estimate the ball's total time of flight and the distance it traverses before hitting the ground. g=10 m/$$s^{2}$$

An Alaskan rescue plane drops a package of emergency rations to stranded hikers, as shown below. The

plane is traveling horizontally at 40.0 m/s at a height of 1.00 x $$10^{2}$$ m above the ground. Neglect air resistance.

(a) Where does the package strike the ground relative to the point at which it was released?

(b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground?

（含图）

A long jumper (Fig. 3.11) leaves the ground at an angle of 20.0° to the horizontal and at a speed of 11.0 m/s.

(a) How long does it take for him to reach maximum height?

(b) What is the maximum height?

(Assume his motion is equivalent to that of a particle, disregarding the motion of his arms and legs.)

(d) Find the maximum height he reaches

An athlete participates in a long-jump competition, leaping into the air with a velocity $$v_{0}$$ at an angle $$\theta_{0}$$ with the horizontal. Obtain an expression for the length of the jump in terms of $$v_{0}$$, $$\theta_{0}$$, and g.

A ball is thrown upward from the top of a building at an angle of 30.0° above the horizontal and with an initial speed of 20.0 m/s, as in Figure 3.12. The point of release is 45.0 m above the ground.

(a) How long does it take for the ball to hit the ground?

(b) Find the ball’s speed at impact.

（含图）

A jet plane traveling horizontally at 1.00 x $$10^{2}$$ m/s drops a rocket from a considerable height. (See Fig. 3.13.) The rocket immediately fires its engines, accelerating at 20.0 m/$$s^{2}$$ in the x - direction while falling under the influence of gravity in the y - direction. When the rocket has fallen 1.00 km, find

(a) its velocity in the y - direction,

(b) its velocity in the x - direction, and

Neglect air drag and aerodynamic lift.

（含图）

A train is traveling with a speed of 15 m/s relative to Earth. A passenger standing at the rear of the train pitches a

baseball with a speed of 15 m/s relative to the train off the back end, in the direction opposite the motion of the train.

(a) What is the velocity of the baseball relative to Earth?

(b) What is the velocity of the baseball relative to the Earth if thrown in the opposite direction at the same speed?

The boat in Figure 3.15 is heading due north as it crosses a wide river with a velocity of 10.0 km/h relative to the water. The river has a uniform velocity of 5.00 km/h due east. Determine the magnitude and direction of the boat's velocity with respect to an observer on the riverbank.

If the skipper of the boat of Example 3.8 moves with the same speed of 10.0 km/h relative to the water but now wants to travel due north, as in Figure 3.16a, in what direction should he head? What is the speed of the boat, according to an observer on the shore? The river is flowing east at 5.00 km/h.

A ball is thrown vertically upward with a speed of 25.0 m/s.

(a) How high does it rise?

(b) How long does it take to reach its highest point?

(d) What is its velocity when it returns to the level from which it started?

A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hits the ground. (a) Find the velocity of the object when it is 30.0 m above the ground.

(b) Find the total distance the object travels during the fall.

A tennis player tosses a tennis ball straight up and then catches it after 2.00 s at the same height as the point of release.

(a) What is the acceleration of the ball while it is in flight?

(b) What is the velocity of the ball when it reaches its maximum height?

Find (c) the initial velocity of the ball and (d) the maximum height it reaches.

53. A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration of 2.00 m/$$s^{2}$$ until its engines stop at an altitude of 150. m.

(a) What can you say about the motion of the rocket after its engines stop?

(b) What is the maximum height reached by the rocket?

(d) How long is the rocket in the air?

A student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.00 m above. The brother's outstretched hand catches the keys 1.50 s later.

(a) With what initial velocity were the keys thrown?

(b) What was the velocity of the keys just before they were caught?

A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped, from a building 15 m high. After how long will the balls be at the same height?

A ball thrown straight up into the air is found to be moving at 1.50 m/s after rising 2.00 m above its release point. Find the ball's initial speed.

A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0 m/s, and the man is initially 3.00 m above the level of the saddle.

(a) What must be the horizontal distance between the saddle and the limb when the man makes

his move?

(b) How long is he in the air?

Calculate the displacement and velocity at times of 2.00s for a ball thrown straight up with an initial velocity of 15.0 m/s. Take the point of release to be$$y_{0}$$=0.

A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) How high does his body rise above the water? (b) How long is the dolphin in the air? Neglect any effects due to his size or orientation.

(a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed?

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