(3) A silver dollar is dropped from the top of a cliff that is 1362 feet tall. The height of the coin after t seconds is given by the position function s(t) = -16t? + vot + so, where vo is the initial velocity and so is the initial position ("initial" means "at time t = 0"). Answer the following questions. (a) Find the position function s(t). (b) Find the velocity function v(t). (c) Find the instantaneous velocity at times t = 1 andt= 2. (d) Find the time required for the coin to reach the ground. (e) What is the velocity of the coin on impact?
(3) A silver dollar is dropped from the top of a cliff that is 1362 feet tall. The height of the coin after t seconds is given by the position function s(t) = -16t? + vot + so, where vo is the initial velocity and so is the initial position ("initial" means "at time t = 0"). Answer the following questions. (a) Find the position function s(t). (b) Find the velocity function v(t). (c) Find the instantaneous velocity at times t = 1 andt= 2. (d) Find the time required for the coin to reach the ground. (e) What is the velocity of the coin on impact?
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Transcribed Image Text:(3) A silver dollar is dropped from the top of a cliff that is 1362 feet tall. The height of the coin
after t seconds is given by the position function s(t) = -16t² + vot + so, where vo is the initial
velocity and so is the initial position ("initial" means "at time t = 0"). Answer the following
questions.
(a) Find the position function s(t).
(b) Find the velocity function v(t).
(c) Find the instantaneous velocity at times t
1 and t = 2.
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(d) Find the time required for the coin to reach the ground.
(e) What is the velocity of the coin on impact?
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