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sukhopar [10]
2 years ago
6

If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the

instantaneous velocity when t=4
Physics
1 answer:
Morgarella [4.7K]2 years ago
4 0

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

<h3>What is the instantaneous velocity when t=4?</h3>

Given that;

  • Initial velocity = 45ft/s
  • Height in feet after t seconds is given by y = 45t - 15t²
  • Instantaneous velocity = ?

First, we determine the derivative of y = 45t - 15t²

y' = (1)45 - (2)15t

y' = 45 - 30t

We substitute in t = 4

y' = 45 - 30t

y' = 45 - 30(4)

y' = 45 - 120

y' = -75ft/s

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

Learn more about velocity here: brainly.com/question/2263547

#SPJ12

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