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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m/second square for 8.0 s. How far does the boat travel during this time?
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A motorboat starting from rest on a lake accelerates in a straight lin...
Calculation of Distance Traveled by Motorboat


Given Information:



  • Initial Velocity (u) = 0 m/s

  • Acceleration (a) = 3.0 m/s2

  • Time (t) = 8.0 s



Formula:


The formula used for the calculation of distance traveled by motorboat is:

S = ut + 1/2at2


Where,


  • S = Distance Traveled

  • u = Initial Velocity

  • t = Time

  • a = Acceleration



Calculation:


Substituting the given values in the above formula, we get:

S = 0 x 8 + 1/2 x 3 x (8)2


S = 0 + 96


S = 96 m


Therefore, the motorboat travels a distance of 96 meters during the given time of 8.0 seconds.

Explanation:


The above problem can be solved by using the formula of distance traveled by an object with constant acceleration. In this case, the motorboat is starting from rest and accelerating at a constant rate of 3.0 m/s2 for a time of 8.0 seconds. To calculate the distance traveled by the motorboat, we need to use the above formula by substituting the given values. After substituting the values, we get the distance traveled by the motorboat as 96 meters. This means that the motorboat covers a distance of 96 meters in 8.0 seconds with a constant acceleration of 3.0 m/s2.
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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m/second square for 8.0 s. How far does the boat travel during this time?
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