Question 6
a) a particle moves along a horizontal line according to the equation:
x = 2t2...
Mathematics, 10.09.2019 09:10 lea5261
Question 6
a) a particle moves along a horizontal line according to the equation:
x = 2t2 + 3t -5,
where x is the displacement in m) at time t (in seconds).
find the velocity and acceleration at an instant when time is 5 seconds.
(6 marks)
b) if distance s travelled by an object in time t is given by:
s = e3t
(i) calculate displacement at t = 0 seconds.
[2 marks]
(ii) prove that the acceleration is nine times distance.
(6 marks]
c) find the area enclosed by the curve y = sin 2x, the x-axis and the ordinates
x = 0 and x = t.
[6 marks
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