Question

How fast is an airplane traveling that accelerates at a rate of 20 mph per second for 30 seconds?

Answer 1

Explanation:

The given data is as follows.

                   acceleration (a) = 20 mph

                   time (t) = 30 sec

                  initial velocity (u) = 0

As 1 mph = 0.447 m/s. So, convert 20 mph into m/s as follows.

               $20 mph/s \times \frac{0.447 m/s}{1 mph}$

                   = 8.94 $m/s^{2}$

Relation between velocity, acceleration and time is as follows.

                            v = u + at

Putting the given values into the above formula as follows.

                          v = u + at

                          v = $0 + 8.94 m/s^{2} \times 30 sec$

                             = 268.2 m/s

Therefore, we can conclude that at a speed of 268.2 m/s the airplane is travelling in the given situation.

Answer 2

Should be 600! hope this helps.