Question 1

Which of the following best describes the definition of displacement in physics?

Accepted Answer

The change in position of an object, given by $$\Delta x = x_f - x_i.$$

Question 2

Given an object moves from $$x_i = 2\,\mathrm{m} to$$ $$x_f = 10\,\mathrm{m} in$$ $$t = 4\,\mathrm{s}$$, what is its average velocity?

Accepted Answer

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

Question 3

Which equation correctly represents the average acceleration $$a_{prom}$$?

Accepted Answer

$$a_{prom} = \frac{\Delta v}{\Delta t}$$

Question 4

A car accelerates uniformly from rest to $$20\,\mathrm{m/s} in$$ $$5\,\mathrm{s}. $$What is its acceleration?

Accepted Answer

$$4\,\mathrm{m/s^2$}$$

Question 5

Which of the following is the correct formula for position as a function of time for constant acceleration?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 6

If a ball is thrown straight up with an initial velocity of $$10\,\mathrm{m/s}$$, what is its velocity after $$1\,\mathrm{s}$$? (Assume $$g = 9.8\,\mathrm{m/s^2$}$$ downward)

Accepted Answer

$$0.2\,\mathrm{m/s}$$

Question 7

Which of the following equations is NOT a kinematic equation for constant acceleration?

Accepted Answer

$$a = \frac{v_0$}{t}$$

Question 8

A runner increases her velocity from $$3\,\mathrm{m/s} to$$ $$9\,\mathrm{m/s} in$$ $$2\,\mathrm{s}. $$What is her average acceleration?

Accepted Answer

$$3\,\mathrm{m/s^2$}$$

Question 9

Which of the following best describes instantaneous velocity?

Accepted Answer

The velocity of an object at a specific instant, given by $$v = \frac{dx}{dt}.$$

Question 10

A car travels with a constant acceleration of $$2\,\mathrm{m/s^2$}$$ for $$6\,\mathrm{s}$$, starting from rest. What is the total distance covered?

Accepted Answer

$$36\,\mathrm{m}$$

Question 11

Which of the following statements about acceleration is correct?

Accepted Answer

Acceleration is the rate of change of velocity with respect to time.

Question 12

If an object moves with constant velocity, what can be said about its acceleration?

Accepted Answer

Its acceleration is zero.

Question 13

A stone is dropped from rest from a height of $$20\,\mathrm{m}. $$How long does it take to reach the ground? (Use $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$2.02\,\mathrm{s}$$

Question 14

Which of the following is the correct expression for average velocity $$v_{prom}$$?

Accepted Answer

$$v_{prom} = \frac{\Delta x}{\Delta t}$$

Question 15

A cyclist starts from rest and accelerates at $$1.5\,\mathrm{m/s^2$}$$ for $$8\,\mathrm{s}. $$What is the final velocity?

Accepted Answer

$$12\,\mathrm{m/s}$$

Question 16

Which of the following is a correct unit for acceleration?

Accepted Answer

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

Units, Physical Quantities, and Dimensional Analysis

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