A motorboat starting from rest on a lake acce | vedclass

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(D) Given: Initial velocity of the motorboat,$u = 0 \, m s^{-1}$.Acceleration of the motorboat,$a = 3.0 \, m s^{-2}$.Time interval,$t = 8.0 \, s$.We u

Vedclass · Accepted Answer

$96$

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(D) Given: Initial velocity of the motorboat,$u = 0 \, m s^{-1}$.Acceleration of the motorboat,$a = 3.0 \, m s^{-2}$.Time interval,$t = 8.0 \, s$.We use the second equation of motion: $s = ut + \frac{1}{2}at^2$.Substituting the given values:$s = (0 	imes 8.0) + \frac{1}{2} 	imes 3.0 	imes (8.0)^2$.$s = 0 + \frac{1}{2} 	imes 3.0 	imes 64$.$s = 3.0 	imes 32$.$s = 96 \, m$.Therefore,the boat travels $96 \, m$ during this time.

$A$ motorboat starting from rest on a lake accelerates in a straight line at a constant rate of $3.0 \, m s^{-2}$ for $8.0 \, s$. How far does the boat travel (in $m$) during this time?

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