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6 (a) A car accelerates at a uniform rate from 5 m s-1

to 30 m s-1

in 5 s. Calculatei) the acceleration of the car

.......[ 1 mark ]

ii) the velocity of the car after accelerating uniformly for the first 2 s.

.......[ 1 mark ]

iii) the distance travelled by the car in 5 s.

.......[ 1 mark ]

iv) if the car continues to accelerate at the same rate, state one way how to calculatethe total distance travelled.

.......[ 1 mark ]

(b) A stone is thrown vertically upwards at a velocity of 20 m s-1. If the gravitationalacceleration is 10 m s-2 and the air resistance is neglected, calculate: (Hint: studentmay use the equation of motion)

i) the time it will take the stone to reach the maximum height.

.......[ 2 mark ]

ii) the maximum height reached by the stone.

.......[ 2 mark ]

SOLUTION:

1. a)i) a = 5 m s-2ii) v = 15 m s-1iii) s = 87.5 miv) area under the graph

1. b)i) t = 2 seconds (use v= u + at)

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ii) s = 20 m. (use s=0.5 (u + v)t )