Question

The position function (in meters) of a particle moving along a horizontal line in t seconds is given by s(t) = t^3 - 12t^2 + 36t. Answer the following questions with correct units. (a) Find the velocity and acceleration functions. (b) At what time(s) is the particle at rest? (c) On what time interval(s) is the particle moving to the right and on what interval(s) is it moving to the left? (d) Determine the time interval(s) when the object is speeding up or slowing down. 4. If a ball is thrown vertically upward with a velocity of 80 feet per second, its height after t seconds is s(t) = 80t - 16t^2. Answer the following questions with correct units. (a) What is the velocity of the ball after 1 second? (b) What is the maximum height reached by the ball? (c) What is the velocity of the ball when it is 64 feet above the ground on its way up? (d) With what velocity will the ball hit the ground?

          The position function (in meters) of a particle moving along a horizontal line in t seconds is given by s(t) = t^3 - 12t^2 + 36t. Answer the following questions with correct units.

(a) Find the velocity and acceleration functions.
(b) At what time(s) is the particle at rest?
(c) On what time interval(s) is the particle moving to the right and on what interval(s) is it moving to the left?
(d) Determine the time interval(s) when the object is speeding up or slowing down.

4. If a ball is thrown vertically upward with a velocity of 80 feet per second, its height after t seconds is s(t) = 80t - 16t^2. Answer the following questions with correct units.

(a) What is the velocity of the ball after 1 second?
(b) What is the maximum height reached by the ball?
(c) What is the velocity of the ball when it is 64 feet above the ground on its way up?
(d) With what velocity will the ball hit the ground?

Added by Rebecca L.

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