Question

A motor boat starting from rest on a lake in a straight line with a constant rate of 3ms-2 for 8 sec. How far boat travel during this time

Answer 1

Hey friend

here is your answer

time ( t ) = 8 second
acceleration ( a ) = 3m/sec^-2
initial velocity ( u ) = 0m/sec

displacement ( s ) = ? ( to find )

as
$s = ut + \frac{1}{2} a {t}^{2} \\ s = 0 \times 8 + \frac{3}{2} \times {8}^{2} \\ s = 0 + 96 \\ s = 96 \: metre$
so, distance covered = 96 metres


glad to help you
hope it helps
thank you.

Answer 2

a = 3 ms^-2

t = 8 second

u = 0

s = ?

Using 2nd equation of Motion

${\implies s = ut + \dfrac{1}{2}at^{2}}$

${\implies s = 0\times 8 + \dfrac{1}{2}\times 3\times (8^{2})}$

${\implies s = 0 + \dfrac{1}{2}\times 3\times 64}$

= 96  m