Question

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A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3 ms² for 8 seconds. How far does the boat travel during this time?​

Answer 1

Answer:

Formula

We know the equation of motion.

Distance, s = ut + (1/2)at²—————-(i)

Substituting the given and known values in the equation (i) we get,

s= 0 (8) + 1/2 (3) (8)²

= 1/2 (3) (64)

= 3(32)

= 96

Therefore, the distance travel by motorboat = 96 m

Answer 2

GIVEN

• Acceleration of boat = 3 m/s²
• Time = 8 seconds

TO FIND

• Distance travelled

SOLUTION

We know that

s = ut + at²/2

where,

• s = Distance
• U = Initial velocity
• T = Time
• A = Acceleration
• T = Time

s = 0*8 + [3*(8)²]/2

s = 0 + 3*32

s = 96m

† Distance travelled by the boat during that time is 96 m.

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