If the velocity function of an object is v(t) = -5t4 - 20t + 100, find the displacement function given that the displacement is 50 ft when time is 1 second

1 answer

v(t) = -5t^4 - 20t + 100
s(t) = -t^5 - 10t^2 + 100t + c
you want c, so just plug in s(1)=50 and crank it out.