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Equation of Motion 9th

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What are the three kinematic equations used to describe motion?

a)

v = u + at, s = ut + 0.5at^2, v^2 = u^2 + 2as

b)

v^2 = u^2 + at

c)

s = vt + 0.5at^2

d)

v = u + t^2

2.

What is the acceleration due to gravity on Earth?

a)

9.81 m/s^2

b)

8.91 m/s^2

c)

10.25 m/s^2

d)

6.67 m/s^2

3.

How does the acceleration due to gravity affect the motion of an object?

a)

The acceleration due to gravity causes the object to accelerate sideways

b)

The acceleration due to gravity has no effect on the motion of an object

c)

The acceleration due to gravity causes the object to decelerate upward

d)

The acceleration due to gravity causes the object to accelerate downward at a rate of 9.81 m/s^2, affecting its speed and direction of motion.

4.

Explain the concept of free fall motion.

a)

Free fall motion is the motion of an object where magnetic force is the only force acting upon it.

b)

Free fall motion is the motion of an object where air resistance is the only force acting upon it.

c)

Free fall motion is the motion of an object where gravity is the only force acting upon it.

d)

Free fall motion is the motion of an object where friction is the only force acting upon it.

5.

What is the velocity of an object in free fall after 3 seconds?

a)

15.67 m/s

b)

25.34 m/s

c)

29.43 m/s

d)

20.91 m/s

6.

How far does an object fall in 5 seconds during free fall?

a)

100 meters

b)

122.625 meters

c)

50 meters

d)

75 meters

7.

What is the final velocity of an object dropped from rest after 4 seconds of free fall?

a)

45.67 m/s

b)

20.12 m/s

c)

39.24 m/s

d)

30.98 m/s

8.

Calculate the acceleration of an object in free fall if it reaches a final velocity of 30 m/s after 6 seconds.

a)

10 m/s^2

b)

15 m/s^2

c)

20 m/s^2

d)

5 m/s^2

9.

A ball is dropped from a height of 100 meters. How long does it take to reach the ground during free fall?

a)

4.5 seconds

b)

6 seconds

c)

8 seconds

d)

2.5 seconds

10.

An object is thrown vertically upwards with an initial velocity of 20 m/s. How long does it take to reach the highest point?

a)

2.8 seconds

b)

3.2 seconds

c)

1.5 seconds

d)

2.04 seconds

11.

What is the acceleration of an object at the highest point of its vertical motion?

a)

0 m/s^2

b)

5 m/s^2

c)

10 m/s^2

d)

-9.81 m/s^2

12.

Explain the difference between positive and negative acceleration in the context of motion equations.

a)

Positive acceleration means slowing down, while negative acceleration means speeding up.

b)

Positive acceleration means maintaining speed, while negative acceleration means stopping.

c)

Positive acceleration means moving backward, while negative acceleration means moving forward.

d)

Positive acceleration means speeding up, while negative acceleration means slowing down.

13.

How does air resistance affect the motion of an object in free fall?

a)

Air resistance slows down the object in free fall by opposing its motion, leading to a decrease in acceleration.

b)

Air resistance has no effect on the motion of an object in free fall

c)

Air resistance increases the speed of the object in free fall

d)

Air resistance causes the object in free fall to move in a straight line

14.

Derive the equation for the position of an object in free fall as a function of time.

a)

s(t) = s0 + v0t - (1/2)at^2

b)

s(t) = s0 + v0t + at^2

c)

s(t) = s0 + v0t - at^2

d)

s(t) = s0 + v0t + (1/2)at^2

15.

A stone is thrown horizontally from a cliff with an initial velocity of 15 m/s. How far does it travel horizontally after 2 seconds?

a)

20 meters

b)

30 meters

c)

25 meters

d)

35 meters

16.

A car has an initial velocity of 25 km/h, the car then accelerates at 1.5 m/s2 to a velocity of 80 km/h. Calculate the time for the car to reach its final velocity.

a)

40.8s

b)

36.66s

c)

20.4s

d)

10.19s

17.

A car accelerates at 4 m/s2 from rest to a velocity of 72 km/h. Calculate the time for the car to reach its final velocity.

a)

5

b)

18

c)

64.8

d)

4

18.

A car accelerates at 1.8 m/s2 for 6 seconds to a velocity of 75 km/h. Calculate the initial velocity in km/h.

a)

10.03

b)

17.83

c)

64.2

d)

36.12

19.

A car has an initial velocity of 24 km/h, the car then accelerates at 2 m/s2 for 6 seconds. Calculate the final velocity in km/h.

a)

18.67

b)

5.19

c)

67.2

d)

134.4

20.

A car accelerates at 4 m/s2 from rest for 6 seconds. Calculate the final velocity in km/h.

a)

24

b)

86.4

c)

6.66

d)

2.4