Question

A motorboat starting from rest ona lake accelerates in a straight
line at a constant rate of 30 ms for 8.0. How far does the
boat travel during this time?​

Answer 1

Answer:

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3m/s^2. Q. 4 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.

Answer 2

Given :

• Acceleration of boat = 3 m/s²

1. Time = 8 seconds

To Find :

• The distance travelled by the boat during that time

Solution :

1. From second equation of motion ,

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

Where ,

2. 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.