Question 1

A car initially traveling at $$8\ \mathrm{ms}^{-1}$$ applies its brakes and slows down to $$2\ \mathrm{ms}^{-1} in$$ $$30\ \mathrm{s}. $$What is the car's deceleration?

Accepted Answer

$$0.2\ \mathrm{ms}^{-2}$$

Question 2

Which of the following best describes non-uniform acceleration?

Accepted Answer

The direction or speed of an object changes at a varying rate.

Question 3

On a velocity-time graph, what does the gradient of the tangent at any point represent?

Accepted Answer

The instantaneous acceleration at that point.

Question 4

An aeroplane accelerates uniformly from $$4\ \mathrm{ms}^{-1} to$$ $$64\ \mathrm{ms}^{-1} in$$ $$40\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$1.5\ \mathrm{ms}^{-2}$$

Question 5

A cyclist accelerates uniformly from $$1.0\ \mathrm{ms}^{-1} to$$ $$7.0\ \mathrm{ms}^{-1} in$$ $$2.0\ \mathrm{s}. $$What is her acceleration?

Accepted Answer

$$4.0\ \mathrm{ms}^{-2}$$

Question 6

A car traveling at $$20\ \mathrm{ms}^{-1}$$ brakes sharply to a standstill in $$8.0\ \mathrm{s}. $$What is its deceleration, assuming velocity decreases uniformly?

Accepted Answer

$$-2.5\ \mathrm{ms}^{-2}$$

Question 7

A train accelerates uniformly from rest for $$20\ \mathrm{s} to a $$velocity of $$12\ \mathrm{ms}^{-1}$$, then travels at constant velocity for $$40\ \mathrm{s}$$, and finally decelerates uniformly to rest in $$30\ \mathrm{s}. $$What is the train's acceleration during the first phase?

Accepted Answer

$$0.6\ \mathrm{ms}^{-2}$$

Question 8

Which equation correctly relates acceleration ($$a$$), change in velocity ($$v-u$$), and time ($$t) $$for uniform acceleration?

Accepted Answer

$$a = \dfrac{v-u}{t}$$

Question 9

If the gradient of a velocity-time graph increases with time, what does this indicate about the object's motion?

Accepted Answer

The object is moving with increasing acceleration.

Question 10

A cyclist accelerates uniformly from $$1.0\ \mathrm{ms}^{-1} to$$ $$7.0\ \mathrm{ms}^{-1} in$$ $$2.0\ \mathrm{s}. $$What will her velocity be $$2.0\ \mathrm{s}$$ later if she continues to accelerate at the same rate?

Accepted Answer

$$13.0\ \mathrm{ms}^{-1}$$

Question 11

Which of the following scenarios best illustrates non-uniform acceleration?

Accepted Answer

A ball rolling down a hill and speeding up at a changing rate.

Question 12

An object released in water has its velocity increase as shown in a curve on a velocity-time graph. What does the changing gradient of the curve indicate?

Accepted Answer

The acceleration of the object is changing with time.

Question 13

A train decelerates uniformly from $$12\ \mathrm{ms}^{-1} to $$rest in $$30\ \mathrm{s}. $$What is its deceleration?

Accepted Answer

$$-0.4\ \mathrm{ms}^{-2}$$

Question 14

Which of the following is NOT a characteristic of uniform acceleration?

Accepted Answer

The gradient of the velocity-time graph changes with time.

Question 15

A car accelerates from rest at $$0.5\ \mathrm{ms}^{-2}$$ for $$10\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$10.0\ \mathrm{ms}^{-1}$$

Question 16

Which of the following best describes the motion of an object with a velocity-time graph that is a horizontal straight line?

Accepted Answer

The object is moving at constant velocity.

Question 17

A car starts from rest and accelerates uniformly at $$2\ \mathrm{ms}^{-2}$$ for $$5\ \mathrm{s}. $$What is the total distance covered?

Accepted Answer

$$50\ \mathrm{m}$$

Question 18

If an object's velocity-time graph is curved and the gradient increases with time, what can be inferred about its acceleration?

Accepted Answer

The acceleration is increasing.

Question 19

A car decelerates uniformly from $$15\ \mathrm{ms}^{-1} to$$ $$5\ \mathrm{ms}^{-1} in$$ $$5\ \mathrm{s}. $$What is its deceleration?

Accepted Answer

$$-2\ \mathrm{ms}^{-2}$$

Kinematics: Uniform and Non-Uniform Acceleration

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