a.) True when v(t) is 0, as you've shown at 0s and 60s
b.) Integrate for s(t), initial distance is 0 so C = 0, answer is 600m
c.) i.) v'(t) = a(t) ii.) occurs when a(t) = 0 and we go from positive to negative. True at t=30
Looks good to me.
Hi I just wondered if what i have done is correct. before i carry on doing these questions.
1. A vehicle, moving along a straight horizontal road , has velocity v m/s at time t seconds modelled by
a) write down the times at which the vehicle is stationary
b) calculate the distance travelled by the vehicle between t=0 and t=60
c) i) Find, in terms of t, an expression for the acceleration of the vehicle at time t seconds
ii) Find the greatest speed of the vehicle
a) vehicle startionary at t=0 and t=60
b)
=
=
=600m
c)
greatest speed when a = 0
2t = 60
t = 30s
when t=30