If a ball is thrown into the air with a velocity of 39 ft/s, its height (in feet) after t seconds is given by y = 39t − 16t2. Find the velocity when t = 1.

Question

If a ball is thrown into the air with a velocity of 39 ft/s, its height (in feet) after t seconds is given by y = 39t − 16t². Find the velocity when t = 1.

________ ft/s

Answer 1

I don't know why they're not teaching this in calculus anymore, but velocity is the derivative of position. So just find the derivative of y and set t = 1.