Question 1

The velocity $$v(t) of a $$particle as a function of time is given by $$v(t) = (3.0\,\mathrm{m/s}) + (4.0\,\mathrm{m/s}^2)t - (2.0\,\mathrm{m/s}^3)t^2$. What is the average acceleration of the particle between t = 1.0$$\,\mathrm{s}$$ and t = 2.0$$\,\mathrm{s}$$?

Accepted Answer

$$1.5\,\mathrm{m/s}^2$$

Question 2

A jet plane is launched from a catapult on an aircraft carrier. In $$2.0\,\mathrm{s} it $$reaches a speed of $$42\,\mathrm{m/s} at $$the end of the catapult. Assuming the acceleration is constant, how far did it travel during those $$2.0\,\mathrm{s}$$?

Accepted Answer

$$42\,\mathrm{m}$$

Question 3

An object starts from rest and undergoes uniform acceleration. During the first second it travels $$5.0\,\mathrm{m}. $$How far will it travel during the third second?

Accepted Answer

$$9.0\,\mathrm{m}$$

Question 4

A toy rocket is launched vertically from ground level at time $$t = 0.0\,\mathrm{s}. $$The rocket engine provides constant upward acceleration during the burn phase. At the instant the engine cuts off, the rocket has risen $$80.5\,\mathrm{m}$$ and acquired an upward velocity of $$29.4\,\mathrm{m/s}. $$The rocket then continues to rise in unpowered flight, reaches its maximum height, and falls back to the ground. The upward acceleration of the rocket during the burn phase is closest to:

Accepted Answer

$$11.4\,\mathrm{m/s}^2$$

Question 5

A rock is projected upward from the surface of the Moon, at time $$t = 0$$, with an upward velocity of $$20.0\,\mathrm{m/s}. $$The acceleration due to gravity at the surface of the Moon is $$1.62\,\mathrm{m/s}^2$$, and the Moon has no atmosphere. The height of the rock when it is descending with a speed of $$10.0\,\mathrm{m/s} is $$closest to:

Accepted Answer

$$139\,\mathrm{m}$$

Question 6

To determine the height of a bridge above the water, a person drops a stone and measures the time it takes to hit the water. If the time is $$2.3\,\mathrm{s}$$, what is the height of the bridge?

Accepted Answer

$$25.9\,\mathrm{m}$$

Question 7

A ball is thrown at an original speed of $$80\,\mathrm{m/s} at an $$angle of $$33^
\,$$ above the horizontal. If there is no air resistance, what is the velocity of the ball $$1.0\,\mathrm{s}$$ after it is thrown?

Accepted Answer

$$74.3\,\mathrm{m/s}$$

Question 8

A girl throws a rock horizontally, with a velocity of $$10.0\,\mathrm{m/s}$$, from a bridge. It lands in the water below. If the rock and the rock travel horizontally before striking the water, assuming negligible air resistance, what is the horizontal distance $$D$$? At this location, $$g = 9.80\,\mathrm{m/s}^2.$$

Accepted Answer

$$3330\,\mathrm{m}$$

Question 9

A cat leaps to catch a bird; the cat's jump was $$2.0\,\mathrm{m}$$ off the ground and its initial velocity was $$4.0\,\mathrm{m/s}. $$What is the highest point of its trajectory, neglecting air resistance?

Accepted Answer

$$3.8\,\mathrm{m}$$

Question 10

A hobbyist launches a projectile from ground level on a horizontal plain. It reaches a maximum height of $$72.3\,\mathrm{m}$$ and lands $$111\,\mathrm{m}$$ from the launch point, with no appreciable air resistance. What was the angle of launch if $$g = 9.80\,\mathrm{m/s}^2$$?

Accepted Answer

$$41.8^
$$

Question 11

A projectile is fired from ground level on a horizontal plain. If the initial speed of the projectile is now doubled, and we neglect air resistance,

Accepted Answer

its range will quadruple.

Kinematics and Projectile Motion: Multiple Choice Study Guide

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