The height h (in feet) of an object shot into the air from a tall building is given by the function h (t) = 650 + 80t - 16t2, where t is the time elapsed in seconds. (a) Write a formula for the velocity of the object as a function of time t.

Question

Physics

Norman

12 December, 01:30

The height h (in feet) of an object shot into the air from a tall building is given by the function h (t) = 650 + 80t - 16t2, where t is the time elapsed in seconds. (a) Write a formula for the velocity of the object as a function of time t.

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Answers (1)

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Yosef Haley · Answer 1

80 - 32t

Explanation:

The height, h, in terms of time, t, is given as:

h (t) = 650 + 80t - 16t²

Velocity is the derivative of distance with respect to time:

v (t) = dh (t) / dt = 80 - 32t