Question 1

Which of the following best defines the concept of displacement in physics?

Accepted Answer

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

Question 2

A car moves from $$x_i = 2\,\mathrm{m} to$$ $$x_f = 10\,\mathrm{m} in$$ $$4\,\mathrm{s}. $$What is its average velocity?

Accepted Answer

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

Question 3

Which equation correctly relates average velocity $$v_{avg}$$, displacement $$\Delta x$$, and time interval $$\Delta t$$?

Accepted Answer

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

Question 4

If an object starts from rest and accelerates uniformly at $$2\,\mathrm{m/s^2$}$$ for $$5\,\mathrm{s}$$, what is its final velocity?

Accepted Answer

$$10\,\mathrm{m/s}$$

Question 5

Which of the following is the correct formula for acceleration $$a$$?

Accepted Answer

$$a = \frac{\Delta v}{\Delta t}$$

Question 6

A runner accelerates from $$3\,\mathrm{m/s} to$$ $$7\,\mathrm{m/s} in$$ $$2\,\mathrm{s}. $$What is the runner's average acceleration?

Accepted Answer

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

Question 7

Which kinematic equation would you use to find the displacement $$\Delta x$$ when you know initial velocity $$v_i$$, time $$t$$, and acceleration $$a$$?

Accepted Answer

$$\Delta x = v_i t + \frac{1}{2} a t^2$

Question 8

A ball is thrown straight up with an initial velocity of $$15\,\mathrm{m/s}. $$Neglecting air resistance, what is the maximum height it reaches? (Use $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$11.5\,\mathrm{m}$$

Question 9

Which of the following statements about velocity and speed is correct?

Accepted Answer

Velocity includes direction, while speed does not.

Question 10

A car travels east at $$20\,\mathrm{m/s}$$ for $$10\,\mathrm{s}$$, then west at $$10\,\mathrm{m/s}$$ for $$10\,\mathrm{s}. $$What is the car's average velocity over the $$20\,\mathrm{s}$$ interval?

Accepted Answer

$$5\,\mathrm{m/s}$$\, east

Question 11

Which of the following best describes the meaning of instantaneous velocity?

Accepted Answer

The velocity of an object at a specific instant in time.

Question 12

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

Accepted Answer

$$48\,\mathrm{m}$$

Question 13

Which of the following is NOT a valid SI unit for acceleration?

Accepted Answer

$$\mathrm{m/s}$$

Question 14

A train slows down from $$30\,\mathrm{m/s} to$$ $$10\,\mathrm{m/s} in$$ $$5\,\mathrm{s}. $$What is its acceleration?

Accepted Answer

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

Question 15

Which kinematic equation would you use to find the final velocity $$v_f if $$you know the initial velocity $$v_i$$, acceleration $$a$$, and displacement $$\Delta x$$?

Accepted Answer

$$v_f^2$ = v_i^2$ + 2a\Delta x$$

Units, Physical Quantities, and Dimensional Analysis

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