5 A particle moves horizontally in a straight line according to the rule
x(t) = t^3 − 5t^2 + 3t − 5, 0 ≤ t ≤ 7
where x metres is its displacement to the right of the origin at time t seconds.
a What is the initial position of the particle?
b After how many seconds does the particle pass...
4 The height, x metres, of a diver above a swimming pool at time t seconds after he has bounced from the diving board can be modeled by the function x(t)= 3- 3t (3t^2/2)
a How long, in seconds, after he has bounced from the diving board does the diver
reach his maximum height?
b What is the...