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Hello. A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a=6.1-1.2t m/s2 for t greater than 0 but less than 6. At t = 0 the velocity and position of the cyclist are 2.7 m/s and 7.3 metre. (a)- what is the maximum speed achieved by the cyclist? (b)- what Total distance does the cyclist travel between t=0 and 6s. Please provide the with the method and calculation and plz provide wid answers.

Hello. A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a=6.1-1.2t m/s2 for t greater than 0 but less than 6. At t = 0 the velocity and position of the cyclist are 2.7 m/s and 7.3 metre. (a)- what is the maximum speed achieved by the cyclist? (b)- what Total distance does the cyclist travel between t=0 and 6s. Please provide the with the method and calculation and plz provide wid answers.

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
Velocity will be maximum when a = 0
.i.e.  = 0 a=6.1-1.2t 
t = 5.08 s
 
velocity = 6.1t -0.6t^2
at t= 5.08 put the value and get the answer.
 
For distance integerate a two times to get the relation b/w s and t.
and put the limit from t = 0 to 6 seconds.
 
Try first then again ask!

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