A boat starts from rest and has a uniform acceleration of 2ms, Calculate the time taken and the distance travelled to attain a velocity of 20ms1.
Answer (1)
Time taken to reach 20 m/s is 10 seconds.Distance traveled to reach 20 m/s is 100 meters.Given:Initial velocity [tex]$$ u = 0 $$[/tex] (starts from rest)Acceleration [tex]$$ a = 2 \, m/s^2 $$[/tex]Final velocity [tex]$$ v = 20 \, m/s $$[/tex]To calculate time taken ([tex]$$ t $$[/tex]):Use the equation:[tex]\begin{center}v = u + at\end{center}[/tex][tex]20 = 0 + 2t \implies t = \frac{20}{2} = 10 \, \text{seconds}[/tex]To calculate distance traveled ([tex]$$ s $$[/tex]):Use the equation:[tex]v^2 = u^2 + 2as[/tex][tex]20^2 = 0 + 2 \times 2 \times s[/tex][tex]400 = 4s \implies s = \frac{400}{4} = 100 \, \text{meters}[/tex]
