MEDIUM

AS and A Level

IMPORTANT

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A particle moves forwards and backwards along a straight line. The displacement of the particle, $s m$ , from its initial position $O$ is given by $s = - 0.6 t^{4} + 2.4 t^{3} - 3.6 t^{2} + 2.4 t$ for $0 < t < 4$ , where $t s$ is the time for which the particle has been travelling.
Show that the particle starts moving along the line in the positive direction.

Important Questions on General Motion in a Straight Line

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6A>Q 11

A particle moves forwards and backward along a straight line. The displacement of the particle,

s m

, from its initial position

O

is given by

s = - 0.6 t^{4} + 2.4 t^{3} - 3.6 t^{2} + 2.4 t

for

0 < t < 4

, where

t s

is the time for which the particle has been travelling. The particle comes to instantaneous rest at point

A

, returns to pass through

O

and continues to point

B

, where the distance

O B

is the same as the distance

O A .

Find the speed of the particle when it is at

B

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6A>Q 12

A robot moves along a straight line for

10 s

. The displacement of the robot,

s m

, from its initial position is given by

s = - 0.01 t^{4} + 0.2 t^{3} - 1.32 t^{2} + 3.2 t

, where

t

is measured in seconds and

0 < t < 10 .

Show that the robot is stationary when

t = 2, t = 5

and

t = 8 .

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6A>Q 12

A robot moves along a straight line for

10 s

. The displacement of the robot,

s m

, from its initial position is given by

s = - 0.01 t^{4} + 0.2 t^{3} - 1.32 t^{2} + 3.2 t

, where

t

is measured in seconds and

0 < t < 10 .

The robot is stationary when

t = 2, t = 5

and

t = 8 .

Find the distance that the robot travels in the

10 s

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6B>Q 1

A particle moves in a straight line so that its velocity,

v m s^{- 1}

, at time

t s (t > 0)

is given by

v = 5 t^{2} - 20

. Find the time when the particle is stationary.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6B>Q 2

A particle moves in a straight line so that its velocity,

v m s^{- 1}

, at time

t s

is given by

v = t^{3} + 3 t^{2} - 8 t + l

. Find its acceleration when

t = 2 .

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6B>Q 4

A car moves in a straight line. The velocity of the car,

v m s^{- 1}

, at time

t s

is given by

v = 5 t + 0.5 t^{2}

for

0 \leq t \leq 2

. Find the acceleration of the car:
when

t = 0

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6B>Q 4

A car moves in a straight line. The velocity of the car,

v m s^{- 1}

, at time

t s

is given by

v = 5 t + 0.5 t^{2}

for

0 \leq t \leq 2

. Find the acceleration of the car:
when

t = 1

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 6 - General Motion in a Straight Line>EXERCISE 6B>Q 4

A car moves in a straight line. The velocity of the car,

v m s^{- 1}

, at time

t s

is given by

v = 5 t + 0.5 t^{2}

for

0 \leq t \leq 2

. Find the acceleration of the car:
when

t = 2

Important Questions on General Motion in a Straight Line

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