A runner of mass 50.1 kg starts from rest and accelerates with a constant acceleration of 1.1 m/s2 until she reaches a velocity of 6.5 m/s. She then continues running at this constant velocity. How long in seconds does the runner take to travel 104 m?
A runner of mass 50.1 kg starts from rest and accelerates with a constant acceleration of 1.1 m/s2 until she reaches a velocity of 6.5 m/s. She then continues running at this constant velocity. How long in seconds does the runner take to travel 104 m?
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Transcribed Image Text:A runner of mass 50.1 kg stařts from rest and accelerates with a constant acceleration
of 1.1 m/s2 until she reaches a velocity of 6.5 m/s. She then continues running at this
constant velocity. How long in seconds does the runner take to travel 104 m?
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Expert Solution
Step 1
The given runner has a mass of 50.1 kg, and they begin their run starting from rest, and runs with a constant acceleration of 1.1 m/s2.
This acceleration is maintained at a constant value, until the runner reaches a velocity of 6.5 m/s, and after reaching this velocity they maintain this at a constant. Thus this means after this mark the acceleration of the runner is zero.
The runner begins from rest, so the initial velocity is zero. A constant acceleration of 1.1 m/s2 is maintained until a final velocity of 6.5 m/s is acheived.
Using kinematical equations of motion,
So the time taken to reach 6.5 m/s is
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