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 = 7 #?

1 Answer
Oct 12, 2017

Answer:

I tried this (but check my maths):

Explanation:

To find the velocity we can derive the function of position (in meter I think) with respect to #t#:

#v(t)=(dp(t))/(dt)=4-[sin(pi/8t)+pi/8tcos(pi/8t)]#

Let us now evaluate this at #t=7# (seconds, I think):

#v(7)=4-[sin(pi/8*7)+pi/8*7cos(pi/8*7)]=6.1m/s#