Question 1

A car starts from rest and accelerates uniformly at $$2.0\ \mathrm{m/s^2$}$$ along a straight road. What is the velocity of the car after $$5.0\ \mathrm{s}$$?

Accepted Answer

$$v_x = 10.0\ \mathrm{m/s}$$

Question 2

A ball is thrown vertically upward with an initial velocity of $$20.0\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height reached by the ball? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$h = 20.4\ \mathrm{m}$$

Question 3

Which of the following equations does NOT require the time variable $$t to $$solve for the final velocity in 1D motion with constant acceleration?

Accepted Answer

$$v_x^2$ = v_{0x}^2 + 2a_x(x - x_0$)$$

Question 4

A motorcycle moves with an initial velocity of $$15\ \mathrm{m/s}$$ and accelerates at $$4.0\ \mathrm{m/s^2$}$$ for $$2.0\ \mathrm{s}. $$What is its displacement during this time?

Accepted Answer

$$x - x_0$ = 38\ \mathrm{m}$$

Question 5

A ball is dropped from rest from a height of $$80\ \mathrm{m}. $$How long does it take to reach the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$t = 4.04\ \mathrm{s}$$

Question 6

Which statement is TRUE about the acceleration of a freely falling object at the highest point of its trajectory?

Accepted Answer

The acceleration is $$-g$$ and directed downward.

Question 7

A police officer starts from rest and accelerates at $$3.0\ \mathrm{m/s^2$} to $$catch a car moving at a constant velocity of $$15\ \mathrm{m/s}. $$How long does it take for the officer to catch up to the car if they start at the same position?

Accepted Answer

$$t = 10\ \mathrm{s}$$

Question 8

If you toss a ball upward with an initial speed $$v_0$$ and it reaches a maximum height $$h$$, what initial speed is required for the ball to reach a maximum height $$3h$$?

Accepted Answer

$$v_0$$ 	imes \sqrt{3}$$

Question 9

A ball is thrown downward from a building with an initial velocity of $$5.0\ \mathrm{m/s}. $$How fast is it moving after $$2.0\ \mathrm{s}$$? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$v = 24.6\ \mathrm{m/s}$$

Question 10

A student drops an egg from a $$46.0\ \mathrm{m}$$ high building. If a professor is walking at $$1.20\ \mathrm{m/s}$$ and is $$1.80\ \mathrm{m}$$ tall, how far from the building should the professor be when the egg is released to hit his head? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$d = 8.0\ \mathrm{m}$$

Question 11

Which of the following best describes the $$x vs$$. $$t$$ graph for an object moving with constant positive acceleration?

Accepted Answer

A curve that gets steeper with time.

Question 12

The area under the $$a_x vs$$. $$t$$ graph between $$t=0$$ and $$t$$ gives:

Accepted Answer

The change in velocity, $$v_x - v_{0x}$$

Question 13

A ball is thrown upward from a roof with a speed of $$15.0\ \mathrm{m/s}. $$What is its velocity $$4.00\ \mathrm{s}$$ after being thrown? (Take $$g = 9.8\ \mathrm{m/s^2$}$$, upward is positive)

Accepted Answer

$$v = -24.2\ \mathrm{m/s}$$

Question 14

Which kinematic equation would you use to find the displacement of an object if you know its initial and final velocities and the time interval?

Accepted Answer

$$x - x_0$ = \frac{1}{2}(v_{0x} + v_x)t$$

Question 15

A ball is released from rest and falls freely. Which of the following statements is correct about the velocity and acceleration during its fall?

Accepted Answer

Velocity increases linearly, acceleration is constant.

1D Motion with Constant Acceleration and Free Fall

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