Question

A motorboat starting from rest on the lake accelerates in a straight line at a constant rate of 3m/s² for 8 seconds. How far does the boat travel during this time?​

Answer 1

$\boxed{\bf{\blue{\longrightarrow Answer:}}}$

• v = 3 × 8
• v = 24 m/s
• v^2 = 2 × 3 × s
• s = 576/6
• s = 96m

Answer 2

$\star\:\:\:\bf\large\underline\blue{Given:—}$

☛︎Initial velocity of the motorboat u = 0

☛︎Acceleration of the boat a = 3 m/s²

☛︎Time t = 8 seconds

$\star\:\:\:\bf\large\underline\blue{To\:find:—}$

How does the boat travel during this time?

means d = ?

$\star\:\:\:\bf\large\underline\blue{Solution:—}$

Let the distance covered during this time be d

Using 2nd equation of motion :-

$\boxed{\bf{\green{Formula:—d=ut+1/2at²}}}$

☞︎︎︎ d = 0 × 8 + 1/2 × 3 × 8² m

☞︎︎︎ d = 96 m

Therefore, motorboat travels = 96 m

______________________________