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 $t = 7$ ?

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Answer 1 · 2017-10-12T15:28:01

I tried this (but check my maths):

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):

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

The position of an object moving along a line is given by p(t) = 4t - tsin(( pi )/8t) p(t) = 4t - tsin(( pi )/8t) . What is the speed of the object at t = 7 t = 7 ?