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A motor boat starting from rest on a lake accelerates in a straight line at a constant rate $3.0 m / s² for 8.0 s .$ How far does the boat travel during this time?

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85

54

96

67

answer is D.

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Detailed Solution

A motor boat starting from rest on a lake accelerates in a straight line at a constant rate

3.0 m / s² for 8.0 s .

The boat travel during this time is

96 m

.
Given:

u = 0, a = 3.0 m / s², t = 8.0 s

Formula:

S = ut + \frac{1}{2} at²

Here,

S =

Distance,

u =

initial velocity,

a =

acceleration and

t =

time
Putting all the values we get,
⇒

S = 0 + (\frac{1}{2}) \times 3 \times 64

⇒

S = 96 m

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