Answer to Question #234828 in Calculus for Jese Junior

Question

A body moves in a straight line and its displacement, s cm , from a fixed point P after a time , t, is given by the formula After t = 2 seconds, find its:

a) Displacement from P.

b) Velocity

c) Acceleration

Answer 1

Given the displacement formula is S=t³-5t²+3t+4

When t=2s

a)

S=t³-5t²+3t+4

=2³-5(2²)+3(2)+4

=-2cm

b)

v=$\frac{dS}{dt}$

=3t²-10t+3

given t=2s

v=3(2²)-10(2)+3

=-5cm/s

c)

a=$\frac{dv}{dt}$

=6t-10

t=2s

a=6(2)-10

=2m/s²