Question

A body travelling with an uniform acceleration,travels a distance of 100m in first 5 seconds and 200m in next 5 seconds,calculate its initial velocity and acceleration.​

Answer 1

Answer:

Explanation:

Velocity is given by V =     Distance Traveled

                                                  Time taken

Initial distance traveled  =  100 m

Initial time taken             =  5 sec

So Initial velocity    = Vi  =  100/5

                                    Vi  =   20 m/s

Acceleration is given by  a =   Final Velocity (Vf) - Initial Velocity (Vi)

                                                              Time taken (t)

we have calculated the initial velocity

now we need to calculate Final velocity

Final Velocity      =  Vf =  Distance traveled in the 2nd interval

                                                             Time taken

                                      =  200/5

                                 Vf  =   40 m/s

Total time taken by the body = 5 sec + 5 sec = 10 sec

Substituting the values in the Acceleration formula:

Acceleration  a  =  40 m/s  - 20 m/s

                                        10 sec

                      a  = 2 m/s²