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In: Math

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t)...

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t) = 16t2+120t+6. (a) What is the position of the object at time t = 3 seconds? (

b) Find the velocity of the object as a function of t.

(c) Find the object’s acceleration at any time t.

(d) When is the velocity of the object 56 m/s?

(e) Find the position of the object at the time when the velocity is 56 m/s. (Hint: Use your answer from part (d).)

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