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AS and A Level

IMPORTANT

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A particle moves in a straight line so that its displacement, $s m$ from the start position, at time $t s$ is given by $s = 2 t^{4} + 3 t^{2} + 10 t .$ Find its velocity when $t = 2 .$

Important Questions on General Motion in a Straight Line

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 3

A tennis ball travels vertically upwards in a straight line. The displacement of the ball, measured from the initial position in metres, is modelled as $s = - 5 t^{2} + 20 t$ , where $t$ is the time from the start, in seconds.
What modelling assumptions have been made?

EASY

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 3

EASY

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 3

EASY

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 4

A child on a fairground ride moves in a straight line. The position of the child, measured from the start, at time

t s

is given by

s = 0.5 t^{4} - t^{2}

for

0 \leq t \leq 2 .

Find the speed of the child:
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 6A>Q 4

A child on a fairground ride moves in a straight line. The position of the child, measured from the start, at time

t s

is given by

s = 0.5 t^{4} - t^{2}

for

0 \leq t \leq 2 .

Find the speed of the child:
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 6A>Q 4

A child on a fairground ride moves in a straight line. The position of the child, measured from the start, at time

t s

is given by

s = 0.5 t^{4} - t^{2}

for

0 \leq t \leq 2 .

Find the speed of the child:
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 6A>Q 5

The position of a particle as it moves along a line is modelled as

s = 3 + 4 t - t^{2}

, where

s

is the displacement, in metres, from a fixed point

O

and

t

is the time, in seconds, from the start.
Show that the particle started

3 m

from

O .

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 5

The position of a particle as it moves along a line is modelled as

s = 3 + 4 t - t^{2}

, where

s

is the displacement, in metres, from a fixed point

O

and

t

is the time, in seconds, from the start.
Find how far the particle is from

O

when it is instantaneously at rest.

A particle moves in a straight line so that its displacement, s m from the start position, at time t s is given by s=2t4+3t2+10t. Find its velocity when t=2.

Important Questions on General Motion in a Straight Line

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A particle moves in a straight line so that its displacement, $s m$ from the start position, at time $t s$ is given by $s = 2 t^{4} + 3 t^{2} + 10 t .$ Find its velocity when $t = 2 .$