Exam 4: Motion in Two and Three Dimensions

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s².

A stone is tied to a string and whirled at constant speed in a horizontal circle. The speed is then doubled without changing the length of the string. Afterward the magnitude of the acceleration of the stone is:

The velocity of an object as a function of time is given by v = (12.5t − 7.2t²) + (4.3t³). What is its acceleration as a function of time?

Which of the curves on the graph below best represents the vertical component v_y versus t for a projectile fired at an angle of 45 $\degree$ above the horizontal?

A boat is able to move through still water at 20 m/s. It makes a round trip to a town 3.0 km upstream. If the river flows at 5 m/s, the time required for this round trip is:

Which of the following is a vector quantity?

A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s. When he is at the top, essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land?

Identical guns fire identical bullets horizontally at the same speed from the same height above level planes, one on the Earth and one on the Moon. Which of the following three statements is/are true? I. The horizontal distance traveled by the bullet is greater for the Moon. II) The flight time is less for the bullet on the Earth. III) The velocities of the bullets at impact are the same.

An object has a velocity of (5.4 m/s) − (4.8 m/s). Over a period of 1.3 s, its velocity changes to (1.7 m/s) + (5.9 m/s). What is its acceleration?

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45 $\degree$ . With what speed was it thrown? Use g = 10 m/s².

A stone thrown from the top of a tall building follows a path that is:

An object is moving on a circular path of radius $\pi$ meters at a constant speed of 4.0 m/s. The time required for one revolution is:

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:

A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectile at one second intervals. If g = 10 m/s², the lengths X,Y,Z are:

The velocity of a projectile equals its initial velocity added to:

An object moves from x = -2.1 m, y = 3.7 m to x = 3.3 m, y = -1.1 m in a time of 5.3 s. What is its average velocity?

Two objects are traveling around different circular orbits with constant speed. They both have the same acceleration but object A is traveling twice as fast as object B. The orbit radius for object A is _______ the orbit radius for object B.

A girl jogs around a horizontal circle with a constant speed. She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s. The magnitude of her acceleration is:

An object moves from x = -2.1 m, y = 3.7 m, z = 1.4 m to x = 3.3 m, y = -1.1 m, z = 4.2 m in a time of 5.3 s. What is its average velocity?

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s²