Q: Which formula correctly expresses acceleration?

$$a = \frac{\text{change in velocity}}{\text{time interval}}$$

Question 1

A car travels 120 km in 2 hours. What is its average speed?

Accepted Answer

$$60\ \mathrm{km/h}$$

Question 2

Which of the following statements best describes velocity?

Accepted Answer

Velocity is a vector quantity describing both the speed and direction of motion.

Question 3

A ball is dropped from rest and falls freely under gravity. What is its speed after 3 seconds? (Assume $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$30\ \mathrm{m/s}$$

Question 4

If a car accelerates from $$13\ \mathrm{m/s} to$$ $$23\ \mathrm{m/s} in$$ $$10\ \mathrm{s}$$, what is its acceleration?

Accepted Answer

$$1\ \mathrm{m/s^2$}$$

Question 5

A freely falling object starts from rest. What is the distance it covers in 4 seconds? (Assume $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$80\ \mathrm{m}$$

Question 6

Which of the following is true about acceleration?

Accepted Answer

Acceleration is the rate of change of velocity over time.

Question 7

An airplane is flying due north at $$80\ \mathrm{km/h}$$ and encounters a crosswind blowing due east at $$60\ \mathrm{km/h}. $$What is the plane's speed relative to the ground?

Accepted Answer

$$100\ \mathrm{km/h}$$

Question 8

A car moves along a circular path at a constant speed. Which statement is correct?

Accepted Answer

The car has acceleration because its direction is changing.

Question 9

If an object is thrown straight upward, what is true about its velocity at the highest point?

Accepted Answer

The velocity is zero.

Question 10

A car travels east at $$100\ \mathrm{km/h}$$ and passes another car traveling west at $$100\ \mathrm{km/h}. Do $$both cars have the same velocity?

Accepted Answer

No, because their directions are opposite.

Question 11

Which formula correctly expresses acceleration?

Accepted Answer

$$a = \frac{	ext{change in velocity}}{	ext{time interval}}$$

Question 12

A ball is thrown straight up with an initial velocity of $$20\ \mathrm{m/s}. $$Ignoring air resistance, what is its velocity after 2 seconds? (Take $$g = 10\ \mathrm{m/s^2$}$$ downward)

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 13

Which of the following best describes free fall?

Accepted Answer

Motion under the influence of gravity only, with negligible air resistance.

Question 14

If a car is decelerating, what is true about the direction of its acceleration relative to its velocity?

Accepted Answer

Acceleration and velocity are in opposite directions.

Question 15

A runner completes a 400 m lap in 50 seconds. What is her average speed?

Accepted Answer

$$8\ \mathrm{m/s}$$

Question 16

Which of the following is NOT a unit of speed?

Accepted Answer

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

Question 17

A stone is dropped from a cliff and falls for 5 seconds. What is its final speed? (Assume $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$50\ \mathrm{m/s}$$

Question 18

Which of the following scenarios involves a change in velocity but not in speed?

Accepted Answer

A car moving in a circle at constant speed.

Question 19

If an object starts from rest and accelerates at $$2\ \mathrm{m/s^2$}$$ for 6 seconds, what is its final speed?

Accepted Answer

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

Linear Motion: Speed, Velocity, and Acceleration – Study Notes

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