A healthy young man stand at a distance of from a height building sees a kid slipping from the top floor. With what speed (assume uniform) should he run to catch the kid at the arm s height at
Step 1. Given data
A healthy young man stand at a distance of .
The height of the building is .
The kid should caught over from the ground level.
Initial velocity is
Step 2. Formula used
where is the distance and is the time
Equation of the motion
where is the distance , the initial velocity is the gravitational constant.(take ) and is the time.
Step 3. Find the distance traveled by the kid
The distance covered by the kid before he was caught is
Step 4. Find the time taken to fall
Let the time taken to fall is
The equation of the motion is
Step 5. Find the speed at which the man ran
The speed at which the man ran in order to catch the kid is
Hence, the man ran at a speed of .