Question

A motorboat starting from rest on a lake
accelerates in a straight line at a constant rate
3.0 ms -2 for 8.0 s. How far does the boat travel
during this time?​

Answer 1

Answer: 96 m

Explanation:

Given

Initial velocity u= 0 m/s

Acceleration a= 3 m/s^2

Time t = 8 sec

Displacement s=?

Apply motion second equation

s= ut +1/2 at^2

= 0 +3×8×8/2

= 96 m

Answer 2

Given, initial velocity of boat is: u=0

Acceleration is: a=3 ms^2

Time is: t=8 s

Using second equation of motion:

s=ut+  1/2at^2

s=0×8+  1/2×3×8^2  =96 m.