question_answer 25)

A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s-1. Calculate when and where the two stones will meet.

Answer:

Here, h = 100 m. Let the two stones meet after t seconds at a point P which is at a height x above the ground as shown in figure.For stone 1,                                    From                                .....(i)                 For stone 2,                                                            From                          ......(ii)   Adding equations (i) and (ii)