Question

The water drops fall at regular intervals from a tap $5m$ above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at the instant?

• A. $1.25m$
• B. $2.50m$
• C. $3.75m$
• D. $4.00m$

Answer 1

Answer: (C)

$3.75m$

Time for download journey $t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2\times 5}{10}}=1s$

So far regular interval drops are falling at interval of $1/2$ sec

distance fallen by $2^{nd}$ drop $=\frac{1}{2}g{\left(\frac{1}{2}\right)}^2=\frac{5}{4}m$

height of $2^{nd}$ drop $=5-\frac{5}{4}=\frac{15}{4}=3.75m$