⠀→ A motorboat starting from rest on a lake accelerates in a strai

1.	⠀→ 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 during this time ?
Answer» Solution - We have, Initial velocity (u) = 0 Time (t) = 8.0 s Acceleration (a) = 3.0 ms⁻² ⠀ In this question, we have to FIND the distance TRAVELLED by the boat during the GIVEN time. We will use the SECOND equation of MOTION, i.e., $\bf\longmapsto{\boxed{\pink{s = ut + \dfrac{1}{2}at^2}}}$ ⠀ Here, s = distance travelled u = initial velocity t = time taken a = acceleration ⠀ Putting values in the formula $\sf\dashrightarrow{s = 0 \times 8.0 + \dfrac{1}{2} \times 3 \times (8.0)^2}$ ⠀ $\sf\dashrightarrow{s = 0 + \dfrac{3}{2} \times 64}$ ⠀ $\sf\dashrightarrow{s = 3 \times 32}$ ⠀ $\frak\dashrightarrow{\purple{s = 96\:m}}$ ⠀ ★ $\small\underline{\sf{Thus,\: the\: boat\: travels\: a\: distance\: of\: 96\: metres.}}$