May/June 2026 Paper 41

2026 · 6 questions · 12 parts · 50 marks

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Context for question 3

A particle

P

travels in a straight line, starting from a point

O

. At time

t

seconds the displacement of

P

from

O

is

s

metres, where

s = 4 t^{3} - 39 t^{2} + 120 t

.

3(a)Kinematics Variable AccelerationMedium3 marks

Find the values of

t

for which

P

is instantaneously at rest.

Working

0 words

Values of

t

0 words

3(b)Kinematics Variable AccelerationMedium2 marks

Find the total distance travelled by

P

in the interval

1 \leq t \leq 4

.

Total distance

3(c)Kinematics Variable AccelerationMedium3 marks

Find the magnitude of the acceleration of

P

when

t = 3

.

Working

0 words

Magnitude of acceleration