Question

The distance s (in kms) travelled by a particle in time t hours is given s(t)=t^2+t/2 findvthe distance travelled by a particle after

Answer 1

Answer:

S = (2t²+3/2t)km

Explanation:

Question: S(t) = t²+1/2t

From the 2nd equation of motion;

S = ut + 1/2at²

u = ds/dt = 2t+1/2

a = du/dt = 2.

Inputting the those two variables into the 2nd equation of motion

So the distance travelled after will be given as;

S = (2t+1/2)t + 1/2(2)t = 2t²+1/2t+t = (2t²+3/2t)km