If a ball is thrown into the air with a velocity of 36 ft/s, its height (in feet) after t seconds is given by y = 36t - 16t2. find the velocity when t = 1.

Question

Physics

Ronan Lucas

3 April, 03:12

If a ball is thrown into the air with a velocity of 36 ft/s, its height (in feet) after t seconds is given by y = 36t - 16t2. find the velocity when t = 1.

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Jazlyn Orr · Answer 1

Height (y) = 36t - 16t^2, where t = time in seconds (s).

Our height (y) after 1s = 36 (1) - 16 (1) ^2

y = 36 - 16 = 20 ft

So it reached a height of 20 ft during that 1 second, which means that at that 1 second it had a velocity of 20ft/s, since v = d (distance) / t = 20ft/1s