Question

A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of 3 m/s2 for 8 sec so how far does the boat travel during in thisvtime?

Answer 1

u= 0 m per sec
a = 3 m per sec square
t = 8 sec
s =?
According to 2nd equation of motion,
s= ut +1/2 at square
s = (0)(8)+1/2(3)((8)) square
s= 0+3/2×64
s = 3× 32 = 96
So the boat will travel 96 m during this time .

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.