A motorcycle travels along a straight line with a velocity [ v = ( 2t² – 8 ) m/s ], where (t ) is in seconds. When (t = 1 s ), the motorcycle is located ( 10 m ) to the right of the origin. Determine: a- The displacement from ( t = 0 ) to ( t = 10 s ). b- The distance traveled by the motorcycle for the same time interval. c- The average velocity at this time interval. d- The average speed at this time interval. e- The acceleration at ( t = 5 s ).

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A motorcycle travels along a straight line with a
velocity [ v = ( 2t² – 8 ) m/s ], where (t ) is in seconds.
When ( t = 1 s ), the motorcycle is located ( 10 m ) to
the right of the origin. Determine:
a- The displacement from ( t = 0 ) to ( t = 10 s ).
b- The distance traveled by the motorcycle for the same time interval.
c- The average velocity at this time interval.
d- The average speed at this time interval.
e- The acceleration at (t = 5 s ).
Transcribed Image Text:A motorcycle travels along a straight line with a velocity [ v = ( 2t² – 8 ) m/s ], where (t ) is in seconds. When ( t = 1 s ), the motorcycle is located ( 10 m ) to the right of the origin. Determine: a- The displacement from ( t = 0 ) to ( t = 10 s ). b- The distance traveled by the motorcycle for the same time interval. c- The average velocity at this time interval. d- The average speed at this time interval. e- The acceleration at (t = 5 s ).
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