A boat, initially at rest, travels 20 m in 4.0 seconds along a straight path with constant acceleration. What is the acceleration of the boat (in m/s2) ?
Question
A boat, initially at rest, travels 20 m in 4.0 seconds along a straight path with constant acceleration. What is the acceleration of the boat (in m/s2) ?
Solution
To find the acceleration, we can use the formula for acceleration which is:
a = 2(d - vt) / t²
where:
- a is acceleration
- d is distance
- v is initial velocity
- t is time
Given in the problem:
- d = 20 m
- v = 0 m/s (since the boat is initially at rest)
- t = 4.0 s
Substituting these values into the formula, we get:
a = 2(20 m - 0 m/s * 4.0 s) / (4.0 s)² a = 2(20 m) / 16 s² a = 40 m / 16 s² a = 2.5 m/s²
So, the acceleration of the boat is 2.5 m/s².
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