THE EQUATIONS OF MOTION - PDST



THE EQUATIONS OF MOTION: 1

u = initial velocity,

v = final velocity,

a = acceleration,

s = displacement,

t = time taken.

[pic] No s

[pic] No v

[pic] No t

Q1 A car is moving at a velocity of 25 ms–1.

It accelerates at a rate of 6 ms–2.

Find its velocity after 3 seconds.

ANSWER

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Use the no s equation:

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Q2 An object is dropped from rest.

Calculate its velocity after 2.5 seconds if it is dropped:

(a) on earth, where the acceleration due to gravity is 9.8 m s–2

(b) on mars, where the acceleration due to gravity is 3.8 m s–2?

ANSWER

Note: when an object is dropped from rest, its initial velocity is 0.

(a)

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(b)

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Q3 A motorbike is travelling with a velocity of 3 m s–1.

It accelerates at a rate of 9.3 m s–2 for 1.8 seconds.

Calculate the distance it travels in this time.

ANSWER

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Q4 A Tesla Roadster car accelerates from rest at a rate of 7.1 m s–2 for a time of 3.9 s. Calculate the distance it travels in this time.

ANSWER

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Q5 A bullet accelerates at a rate of

90,000 m s–2 from rest.

Calculate its velocity if it travels a distance of 0.5 m while accelerating.

ANSWER

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Q6 An aircraft is travelling along a runway at a velocity of 25 m s–1.

It accelerates at a rate of 4 m s–2 for a distance of 750 m before taking off. Calculate its take-off speed.

ANSWER

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Q7 A car is travelling at a speed of 21 m s–1. It accelerates at an average rate of 3 m s–2 for a time of 4 seconds. Find the distance it travels during the 4 seconds.

ANSWER

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TH

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