Question

The position of an object as a function of time is x(t)=-3t ^2 m. (a) What is the velocity of the object as a function of time? (b) Is the velocity ever positive? (c) What are the velocity and speed at t = 1.0 s?

Answer 1

Answer:

Given,

s=3t

3

5t

2

+2t

So displacement,

Instant velocity, v=

dt

ds

⇒v=

dt

d(3t

3

5t

2

+2t)

=9t

2

+10t+2.......1

If t=1s eqtn {1} becomes

v=9+10+2=21m/s