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

Answer:

#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#