Question

The displacement in metres of a body varies with time t in second as y = t2 – t – 2. The displacement is zero for a positive of t equal to

Answer 1

Answer:

The displacement in meters of the body

as a function of time y = t² -t -2

To find:

Where the displacement equals to 0 for a positive t.

Solution:

The displacement is given as:

y = t² -t -2

We need to find when y=0

So putting y=0, we get:

t² -t-2= 0

t² -2t +t -2 =0

t(t2)+1(t - 2) =0

(t-2)(t + 1) = 0

t=2, t = -1

Since t needs to be positive, therefore we will consider t=2 sec.

Therefore the displacement is 0 at t= 2 sec.