Cliff diving

Cliff diving is an extreme sport. If a cliff diver dives from a platform 50 meters above the water, how long does the dive take in seconds ?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s 2 -9.8~\mbox{m/s}^2 .
  • The diver can be treated as a point mass and has no vertical velocity at the start of the dive.
  • Ignore air resistance.


The answer is 3.19.

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4 solutions

Abrar Nihar
Sep 30, 2013

s = u t + 1 2 a t 2 50 m = 0 × t + 1 2 × 9.8 m/s 2 × t 2 s=ut+\frac{1}{2}at^2~~~\Longrightarrow 50~\textrm{m}=0 \times t + \frac{1}{2} \times 9.8~\textrm{m/s}^2 \times t^2

t 2 × 4.9 m/s 2 = 50 m t 2 = 50 m 4.9 m/s 2 \Longrightarrow t^2 \times 4.9~\textrm{m/s}^2 = 50~\textrm{m} ~~~\Longrightarrow t^2 = \frac{50~\textrm{m}}{4.9~\textrm{m/s}^2}

t = 50 m 4.9 m/s 2 3.19 seconds \therefore t = \sqrt{\frac{50~\textrm{m}}{4.9~\textrm{m/s}^2}}\approx 3.19~\textrm{seconds}

Sonu Kumar Tiwari
Sep 29, 2013

apliy the motion secon equation and put u=0 and h=50 g=9.8 and find time

do you know what the pormula is?

Daniel Wang - 7 years, 8 months ago

Actually what is the answer??

Giri Venkatesan - 7 years, 8 months ago

Log in to reply

3.19

Saikarthik Bathula - 7 years, 8 months ago
Daniel Ferreira
Oct 5, 2013

S = S o + V o t + α t 2 2 50 = 0 + 0 + 10 t 2 2 5 t 2 = 50 t 2 = 10 t = 3.19 s S = S_o + V_o \cdot t + \frac{\alpha \cdot t^2}{2} \\\\ 50 = 0 + 0 + \frac{10t^2}{2} \\\\ 5t^2 = 50 \\\\ t^2 = 10 \\\\ \boxed{t = 3.19 \, \text{s}}

since,S=ut+1/2at^2 , h=1/2gt^2(as,u=0)

We get,
            50=1/2*9.8*t^2
           50=4.9*t^2
          t^2=50/4.9=500/49
         rooting on both sides,we get,
        t=+or- 22.3/7
        And since time cannot be negative,
       Therefore,t=22.3/7
          So,t=3.1943828249997

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