Question

A motorboat starting from rest on a lake acceleration line at a constant rate of `3.0 m//s^(2)` for `8.0 s`. How far does the boat travel during this time ?

Answer 1

Here, `" "` Distance travelled, s = ? `" "` (To be calculated)
`" "` Initial speed, `u` = 0
`" "` Time, `t` = 8.0 s
And `" "` Acceleration, `a` = 3.0 m `s^(-2)`
Now, `" "s=ut + (1)/(2) at^(2)`
So, `" "s= 0xx8.0 + (1)/(2)xx3xx(8.0)^(2)`
`" "s = 0+(1)/(2)xx3xx64`
`" "s` = 96 m
Thus, the boat travels a distance of 96 metres.