Formative Exercise 8.2 Question 3
A particle moves along a straight line so that its displacement,s metre from a fixed point O at t seconds given is by s=t3-5t2-8t+12,where t≥0.
a) Express the velocity function,v and acceleration function,a of the particle in terms of t.
b) Determine the instantneous velocity, in ms-1 and instantneous acceleration, in ms-2of the particle when t=3.
c) Find the value of t, in seconds, when the particle is instantaneously at rest.
d) Find the value of t, in seconds, when the particle is at O.
e) Find the total distance travelled by the particle in the first 6 seconds.