A particle moves along the x-axis so that its position as a function of time is given by the equation, find the velocity (as a function of time) and the acceleration (as a function of time). (t for time)

Question

x = 10t^5 - 6t^3 + 13t + 15

Answer 1

v(t) = dx/dt = 50t^4 - 18t^2 + 13
a(t) = dv/dt = 200t^3 - 36t