For the following exercises, the given functions represent the position of a particle traveling along a horizontal line Find the velocity and acceleration functions Determine the time intervals when the object is slowing down or speeding up A rocket is fired vertically upward from the ground The distancesin feet that the rocket travels from the ground aftert seconds is given bys(t) 16t 2 560t a Find the velocity of the rocket 3 seconds after being fired b Find the acceleration of the rocket 3 seconds after being fired show all work

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Question: For the following exercises, the given functions represent the position of a particle traveling along a horizontal line. Find the velocity and acceleration functions. Determine

For the following exercises, the given functions represent the position of a particle traveling along a horizontal line.

Find the velocity and acceleration functions.
Determine the time intervals when the object is slowing down or speeding up.

A rocket is fired vertically upward from the ground. The distancesin feet that the rocket travels from the ground aftert seconds is given bys(t)=16t^2+560t.

a.Find the velocity of the rocket 3 seconds after being fired.

b.Find the acceleration of the rocket 3 seconds after being fired.

show all work!

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