The position of an object moving along a line is given by p(t) = 4t - tsin(( pi )/8t) . What is the speed of the object at t = 2 ?

1 Answer
May 19, 2017

3.7 m/s

Explanation:

The equation for instantaneous velocity v_x is the derivative of the position equation (d/(dx)sin(ax) = acos(ax))

v_x(t) = 4m/s - pi/8cos(pi/8m/st)

At time t = 2.0s, the velocity is

v_x(2.0) = 4m/s - pi/8cos(pi/8m/s(2.0s)) = 3.7 m/s