Question

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`?

Answer 1

`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`