Question 1

Which of the following best describes the definition of average velocity?

Accepted Answer

The displacement divided by the total time taken.

Question 2

Given the position function $$x(t) = 4t^2$ - 2t + 3$$, what is the instantaneous velocity at $$t = 2 s$$?

Accepted Answer

$$v = 14 m/s$$

Question 3

Which equation correctly relates acceleration to velocity and time for constant acceleration?

Accepted Answer

$$a = \frac{v_f - v_i}{t}$$

Question 4

A car starts from rest and accelerates uniformly at $$2\ \mathrm{m/s^2$}$$ for $$5$$ seconds. What is its final velocity?

Accepted Answer

$$v = 10\ \mathrm{m/s}$$

Question 5

Which of the following is the correct formula for displacement under constant acceleration?

Accepted Answer

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

Question 6

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, how long does it take to reach its maximum height? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$t = 1.53\ \mathrm{s}$$

Question 7

If the velocity of an object is given by $$v(t) = 6t - 4$$, what is the acceleration at any time $$t$$?

Accepted Answer

$$a = 6\ \mathrm{m/s^2$}$$

Question 8

A runner moves with a constant velocity of $$8\ \mathrm{m/s}$$ for $$12$$ seconds. What is the total displacement?

Accepted Answer

$$96\ \mathrm{m}$$

Question 9

Which of the following statements about acceleration is correct?

Accepted Answer

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

Question 10

A cyclist starts from rest and reaches a velocity of $$12\ \mathrm{m/s} in$$ $$4$$ seconds. What is the average acceleration?

Accepted Answer

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

Question 11

Which kinematic equation would you use to find the displacement when you know the initial velocity, acceleration, and time?

Accepted Answer

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

Question 12

A car travels at $$20\ \mathrm{m/s}$$ and comes to a stop in $$5$$ seconds with constant acceleration. What is the acceleration?

Accepted Answer

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

Question 13

If an object moves with constant acceleration, which of the following graphs would be a straight line?

Accepted Answer

Velocity vs. Time

Question 14

A stone is dropped from rest from a height of $$45 m. $$How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 15

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Speed is a scalar and velocity is a vector.

Units, Physical Quantities, and Vectors: Fundamental Concepts

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