Question

Water drops fall from the nozzle of a tap at height 180m.The drops fall at regular intervals of time.The 1st drop strikes the floor ta the instant when 7th drop begins to fall.The time interval between two consecutive drops is?

Answer 1

We can use linear motion equations to solve this problem.

Given :

    S = height  of the tap = 180m

    u = staring velocity of the drop = 0

    a = acceleration due to gravity = 10 m/s²

Let t = time interval between two consecutive drops.    

     T = time to travel 180m = 6t

For 1st drop,

        $S = uT + (1/2)aT^{2}$

      $180 = 0 + (1/2)*10*(6t)^{2}$

      $180 = (1/2)*10*36t^{2}$

        $36 = 36t^{2}$

           $1 = t^{2}$  

           $t = 1 s$

time interval between two consecutive drops = 1 second