Question

A stone is dropped from a height of 10 m on an unknown planet having g=20m/s^2. calculate teh speed of the stone when it hits the surface of the planet.also calculate the time it takes to fall through this height.

Answer 1

${v}^{2} - {u}^{2} = 2as \\ u = 0 \\ a = 20 \: and \: s = 10 \\ v = \sqrt{2 \times 20 \times 10} = \sqrt{400} = 20 \\ v = u + at \\ v = 20 \: u = 0 \: a = 20 \\ 20 = 0 + 20t \\ hence \: t = 1sec$
Hence v = 20m/s and time = 1 second
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Answer 2

u = 0

h = 10m

g = 20m/s2

v = root: u2 + 2gh

0+2×20×10


=20m/s

v = u+gt

t= v/g

20/20

= 1s
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