Question

The engine of a truck moving along a straight road delivers constant power. The distance travelled by the truck in time t is proportional to(a) t (b) t²(c) $\sqrt{t}$ (d) $t^{\frac{3}{2}$

Answer 1

Answer:- (d) t ^ (3/2)

F => mav = k

F  => m ( dv / dt ) v = k --- a  = dv/dt

v = ( t^1/2 ) * c                 ----- ( where c = some constant)

dx/dt = ( t^1/2 ) * c

x = t^3/2 * a                  ----- (where a = some other contant)

Answer 2

Answer:

t^(3/2)

Explanation:

Check the attached pic