Answer :
The time required for the motorcycle to change its speed from 19.1 m/s to 29.1 m/s is approximately 3.125 seconds and time required for the motorcycle to change its speed from 49.1 m/s to 59.1 m/s is approximately 3.125 seconds.
Given:
Constant acceleration of the motorcycle, a = 3.2 m/s²
Final velocity of motorcycle in case (a), v₂ = 29.1 m/s
Initial velocity of motorcycle in case (a), v₁ = 19.1 m/s
Final velocity of motorcycle in case (b), v₂ = 59.1 m/s
Initial velocity of motorcycle in case (b), v₁ = 49.1 m/s
Time required to change speed, t
To find: Time required to change speed
Using the formula for motion with constant acceleration:
v₂ = v₁ + at
Rearranging the equation, we get:
t = (v₂ - v₁) / a
For case (a):
Substituting the given values, we get:
t = (29.1 - 19.1) / 3.2
t ≈ 3.125 seconds
For case (b):
Substituting the given values, we get:
t = (59.1 - 49.1) / 3.2
t ≈ 3.125 seconds
The time required for the motorcycle to change its speed from 19.1 m/s to 29.1 m/s is approximately 3.125 seconds.
The time required for the motorcycle to change its speed from 49.1 m/s to 59.1 m/s is approximately 3.125 seconds.
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