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A motorboat starting from rest on a lake accelerates in a str... - Science
Question
A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 \text{ m s}^{-2} for 8.0 \text{ s}. How far does the boat travel during this time?
Answer
Given:
Initial velocity (u) = 0 (starts from rest)
Acceleration (a) = 3.0 \text{ m/s}^2
Time (t) = 8.0 \text{ s}
Formula:
s = ut + \frac{1}{2}at^2
Calculation:
s = (0 \times 8) + \frac{1}{2} \times 3.0 \times (8)^2s = 0 + \frac{1}{2} \times 3 \times 64s = 3 \times 32s = 96 \text{ m}
Answer: The boat travels a distance of 96 \text{ m}.