An object starts from rest and moves along the x axis such that for the first 10 seconds, its position is given by x = 2t3 +3t in meters. After that, it continues with a constant velocity for 5 seconds. It then speeds down with a constant deceleration of magnitude 5 m/s² and comes to a complete stop. (a) Find the instantaneous velocity and acceleration at t = 10. (b) Find the total displacement of the object.
An object starts from rest and moves along the x axis such that for the first 10 seconds, its position is given by x = 2t3 +3t in meters. After that, it continues with a constant velocity for 5 seconds. It then speeds down with a constant deceleration of magnitude 5 m/s² and comes to a complete stop. (a) Find the instantaneous velocity and acceleration at t = 10. (b) Find the total displacement of the object.
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Transcribed Image Text:An object starts from rest and moves along the x axis such that for the first 10 seconds, its
position is given by x = 2t3 +3t in meters. After that, it continues with a constant velocity
for 5 seconds. It then speeds down with a constant deceleration of magnitude 5 m/s² and
comes to a complete stop.
(a) Find the instantaneous velocity and acceleration at t = 10.
(b) Find the total displacement of the object.
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