A Boat Accelerates To A Speed Of 50m/S Over A Distance Of 75m. Determine The Acceleration (Assume Uniform) Of The Boat

a boat accelerates to a speed of 50m/s over a distance of 75m. determine the acceleration (assume uniform) of the boat

 

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Problem:

A boat accelerates to a speed of 50 m/s over a distance of 75 m . Determine the acceleration of the boat(assume uniform).

Given Data:

Vi (initial Velocity) = 0 m/s

Vf (Final Velocity)  =  50 m/s

d (distance)  =  75 m

a (acceleration)  =  unknown

Solution:

We solve the problem using the formula  Vf² = Vi² + 2ad

To solve for acceleration we can use,  a = Vf² - Vi² / 2d

a = Vf² - Vi² / 2d

  = (50 m/s)² -  (0 m/s)² / 2 ( 75 m)

 = 2500 m²/s² / 150 m

 = 16.67 m/s²

Answer:

Acceleration is 16.67 m/s²