Question

a motor boat starting from rest on a lake accelerates in a straight line at a constant rate of 2 metre per second square for 8 second how much far does the boat travel during this time

Answer 1

HERE IS YIUR ANSWER............

u = 0m/s (as the boat started from rest)
a = 2m/ s^2 (given)
t = 8 seconds (given)
s = ? (to find )

using 2nd equation of motion
s = ut + 1/2at^2
= 0(8) + 1/2×2×8×8
= 0 + 8×8
= 64m

this is the distance the boat will travel


HOPE IT HELPS U ..............

Answer 2

Answer:

Given :

Acceleration of boat = 3 m/s²

Time = 8 seconds

To Find :

The distance travelled by the boat during that time

Solution :

From second equation of motion ,

$\\ \star \: {\boxed{\sf{\purple{s = ut + \dfrac{1}{2}a {t}^{2} }}}}$

Where ,

u is initial velocity

t is time

a is acceleration

s is distance travelled

We have ,

u = 0 [starting from rest]

t = 8 sec

a = 8 m/s²

Substituting the values in the equation ,

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

$\\ : \implies \sf \: s = \dfrac{1}{2} (3)(64)$

$\\ : \implies \sf \: s = 32 \times 3 \: m$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{s = 96 \: m}}}}} \: \bigstar$

Hence ,

The distance travelled by the boat during that time is 96 m.