Question

While driving his sports car at 20.0 m/s down a four-lane highway, Eddiecomes up behind a slow-moving dump truck and decides to pass it in the left-hand lane. If Eddie can accelerate at 5.00 m/s2, how long will it take for himto reach a speed of 30.0 m/s?

Answer 1

Given

Initial velocity of the car, u=20.0 m/s

Acceleration,

`a=5.00\text{ m/s}^2`

Final speed, v=30.0 m/s

To find

The time taken to reach 30 m/s

Step-by-step explanation

By equation of kinematics,

`\begin{gathered} v=u+at \\ \Rightarrow30=20+5t \\ \Rightarrow t=2\text{ sec} \end{gathered}`

Conclusion

The time taken is 2 sec.