Question

In a car moving at constant acceleration, you travel 290 m between the instants at which the speedometer reads 40 km/h and 80 km/h . Part a part complete how many seconds does it take you to travel the 290 m ?

Answer 1

Answer:

 Car will take 17.36 seconds to travel the 290 meter.

Explanation:

   We know the equation of motion $v^2 =u^2+2as$ , where s is the displacement, u is the initial velocity, a is the acceleration and v is the final velocity.

  In this case initial velocity = 40 km/h = 11.11 m/s

                      Final velocity = 80 km/h = 22.22 m/s

                      Displacement = 290 m

   Substituting         

          $22.22^2=11.11^2+2*a*290\\ \\ a = 0.64 m/s^2$

 Now we have v = u+at, where t is the time taken.

   Substituting

            22.22 =11.11 + 0.64*t

                     t = 17.36 seconds

So car will take 17.36 seconds to travel the 290 meter.