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Nonamiya [84]
3 years ago
6

A motorcycle starts from rest and has a constant acceleration. In a time interval t, it undergoes a displacement x and attains a

final velocity v. then t is increased so that the displacement is 3x. What final velocity does the motorcycle attain?
Physics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

√(6ax)

Explanation:

Hi!

The question states that during a time t the motorcyle underwent a displacement x at constant acceleration a starting from rest, mathematically we can express it as:

x=(1/2)at^2

Then the we need to find the time t' for which the displacement is 3x

3x=(1/2)a(t')^2

Solving for t':

t'=√(6x/a)

Now, the velocity of the motorcycle as a function of time is:

v(t)=a*t

Evaluating at t=t'

v(t')=a*√(6x/a)=√(6*x*a)

Which is the final velocity

Have a nice day!

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