At some airports there are speed ramps to help passengers get from one place to another. A speed ramp is a moving conveyor belt on which you can either stand or walk. Suppose a speed ramp has a length of 104 m and is moving at a speed of 2.1 m/s relative to the ground. In addition, suppose you can cover this distance in 84 s when walking on the ground. If you walk at the same rate with respect to the speed ramp that you walk on the ground, how long does it take for you to travel the 104 m using the speed ramp

The time taken is

Explanation:

From the question we are told that

   The length of the speed ramp is

     The speed of the speed ramp is

      The time taken to cover the distance is

The walking speed( when not on the speed ramp)  required to  cover the 104m is mathematically represented as

Substituting values

The speed required to cover the 104m distance when on a speed speed ramp  is mathematically represented as

 substituting values

Now the time taken to travel the 104m distance when walking on the speed ramp is mathematically evaluated as

b

explanation:

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be