A boat in a race accelerates uniformly at 0.2 m/s² for 18 seconds to reach a final speed of 6 m/s. Work out the initial speed of the boat
Question
A boat in a race accelerates uniformly at 0.2 m/s² for 18 seconds to reach a final speed of 6 m/s.
Work out the initial speed of the boat.
Solution
To find the initial speed of the boat, we can use the formula for acceleration, which is:
final speed = initial speed + (acceleration * time)
We can rearrange this formula to solve for the initial speed:
initial speed = final speed - (acceleration * time)
We know that the final speed is 6 m/s, the acceleration is 0.2 m/s², and the time is 18 seconds. Substituting these values into the formula gives us:
initial speed = 6 m/s - (0.2 m/s² * 18 s)
initial speed = 6 m/s - 3.6 m/s
initial speed = 2.4 m/s
So, the initial speed of the boat was 2.4 m/s.
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