A car travels along a straight road

Question

30 seconds starting at time t = 0. Its acceleration in [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.

What is the velocity of the car when t = 6?

Answer 1

s(t) = (a/2)t^2 + vot + so

where so= 10 and vo=0

a= acceleration

v = velocity

s = position

t = time

s(t) = (a/2)t^2 + 10

s'(t) = v(t) = at

v(6) = a(6) = 6a

velocity at time t=6 = 6 times the acceleration