1.73: Quadratic velocity and total distance

0606/13/O/N/16 — Question 11 · 9 marks

A particle moving in a straight line has a velocity of

v

m s

^{-1}

such that,

t

s after leaving a fixed point,

v = 4t^{2} - 8t + 3

(i)

Find the acceleration of the particle when

t = 3

[2]

(ii)

Find the values of

t

for which the particle is momentarily at rest.

[2]

(iii)

Find the total distance the particle has travelled when

t = 1.5

[5]