Q: A ball is thrown straight up with an initial velocity of $$15\,\mathrm{m/s}. $$What is its acceleration at the peak of its motion (neglecting air resistance)?

$$9.8\,\mathrm{m/s^2$}$$\text{ downward}$$

Question 1

Which of the following best describes acceleration?

Accepted Answer

The rate at which velocity changes over time.

Question 2

Given the formula for velocity $$v = \frac{\Delta x}{\Delta t}$$, what does $$\Delta x$$ represent?

Accepted Answer

Change in position (displacement)

Question 3

A car moves right at $$10\,\mathrm{m/s}. $$After $$4$$ seconds, its velocity is $$30\,\mathrm{m/s} to $$the right. What is the magnitude of its acceleration?

Accepted Answer

$$5\,\mathrm{m/s^2$}$$

Question 4

Which of the following is NOT a vector quantity?

Accepted Answer

Distance

Question 5

If a jogger changes velocity from $$6\,\mathrm{m/s}$$ right to $$6\,\mathrm{m/s}$$ left in $$3$$ seconds, what is the magnitude of the acceleration?

Accepted Answer

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

Question 6

Which equation correctly expresses acceleration in terms of velocity and time?

Accepted Answer

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

Question 7

A car traveling at $$40\,\mathrm{m/s}$$ sees a police car and slows down to $$25\,\mathrm{m/s}$$ with a constant acceleration of $$-3\,\mathrm{m/s^2$}. $$How long does it take to reach the speed limit?

Accepted Answer

$$4.3\,\mathrm{s}$$

Question 8

Which of the following statements about acceleration is TRUE?

Accepted Answer

Acceleration is always a vector quantity.

Question 9

If an object’s velocity changes only in direction but not in magnitude, what can be said about its acceleration?

Accepted Answer

Acceleration is present due to change in direction.

Question 10

Which of the following pairs correctly matches a motion vector with its scalar equivalent?

Accepted Answer

Displacement and distance

Question 11

A runner accelerates from $$2\,\mathrm{m/s} to$$ $$8\,\mathrm{m/s} in$$ $$3$$ seconds. What is the runner’s acceleration?

Accepted Answer

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

Question 12

Which scenario best illustrates a change in velocity’s magnitude?

Accepted Answer

A runner speeds up from $$5\,\mathrm{m/s} to$$ $$10\,\mathrm{m/s}.$$

Question 13

Which of the following is the correct unit for acceleration?

Accepted Answer

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

Question 14

A cyclist moves at $$12\,\mathrm{m/s}$$ and slows down to $$6\,\mathrm{m/s} in$$ $$2$$ seconds. What is the acceleration?

Accepted Answer

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

Question 15

Which of the following is a correct interpretation of the equation $$a = \frac{\Delta v}{\Delta t}$$?

Accepted Answer

Acceleration is the change in velocity per unit time.

Question 16

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

Accepted Answer

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

Question 17

Which of the following is true about velocity and speed?

Accepted Answer

Speed is a scalar; velocity is a vector.

Question 18

A ball is thrown straight up with an initial velocity of $$15\,\mathrm{m/s}. $$What is its acceleration at the peak of its motion (neglecting air resistance)?

Accepted Answer

$$9.8\,\mathrm{m/s^2$}$$	ext{ downward}$$

Question 19

Which of the following best explains why acceleration is a vector?

Accepted Answer

It has both magnitude and direction.

Kinematics: Velocity and Acceleration Study Notes

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