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This file is useful for igcse edexcel maths olevel. it has exam questions about kinematics
Typology: Exercises
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17 A particle P moves along a straight line. The fixed point O lies on this line.
The displacement of P from O at time t seconds, t 1, is s metres where
s = 4 t^2 +
t
The velocity of P at time t seconds, t 1, is v m / s
Work out the distance of P from O at the instant when v = 0
...................................................... m
(Total for Question 17 is 5 marks)
24 A particle P moves along a straight line that passes through the fixed point O
The displacement, x metres, of P from O at time t seconds, where t 0 , is given by
x = 4 t^3 − 27 t + 8
The direction of motion of P reverses when P is at the point A on the line.
The acceleration of P at the instant when P is at A is a m / s^2
Find the value of a
a = .......................................................
(Total for Question 24 is 5 marks)
..................................................................................
(Total for Question 23 is 6 marks)
19 A particle P is moving along a straight line. The fixed point O lies on this line.
At time t seconds where t 0, the displacement, s metres, of P from O is given by
s = t ³ + 5 t ² – 8 t + 10
Find the displacement of P from O when P is instantaneously at rest.
Give your answer in the form
a b
where a and b are integers.
...................................................... metres
(Total for Question 19 is 5 marks)
23 A particle moves along a straight line. The fixed point O lies on this line. The displacement of the particle from O at time t seconds, t 0, is s metres where
s = t^3 + 4 t^2 − 5 t + 7
At time T seconds the velocity of P is V m/s where V −
Find an expression for T in terms of V.
Give your expression in the form
k mV where k and m are integers to be found.
(Total for Question 23 is 6 marks)
18 A particle is moving along a straight line that passes through the fixed point O The displacement, s metres, of the particle from O at time t seconds is given by
s 2 t^3 5 t^2 6 t 5
Find the value of t when the acceleration of the particle is 5 m/s²
t = ..............................................................
(Total for Question 18 is 4 marks)
18 A particle P moves along a straight line. O is a fixed point on the line. The displacement, s metres, of P from O at time t seconds is given by
s = t +
t
The velocity of P at time t seconds is v m/s.
(a) By differentiation, find an expression for v in terms of t for t > 1
v = (2)
(b) Find the value of t for which v = 0
t = (2)
The acceleration of P at time t seconds is a m/s^2
(c) Find the value of a when t = 2
a = (2)
(Total for Question 18 is 6 marks)
10 ) (^) Jan 2019 4HR # 18
