Question

A motorboat starting from rest on a lake accelerates in a straight line at constant rate of 3m/s2

for

8s.How far does the boat travel during this time?

Answer 1

initial velocity, u=0
time taken,t=8s
acceleration =3m/s^2
distance,s=?
then,
s=ut+1/2at^2
s=0×8+1/2×3×8^2
s=0+3/2×64
s=0+96
s=96m

Answer 2

Solution :

Here;
Inital velocit, u = 0m/s

Acceleration, a = 3m/s^2

time taken , t = 8 second

Distance, s = ? (to find)

Using appropriate equation of motion.

we know that;

s= ut + 1/2 at^2

=> s = 0*8 + 1/2 *3 (8)^2

= 0 + 92

=> s = 96 m

Hence, distance travelled is 96 m

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Hope my answer is satisfactory.

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#Amrit⭐