1.

A body is dropped from the top of a tower. It acquires a velocity of 20 m/s on reaching the ground. Calculate the height of the tower. (Take g = 10 m/s2)

Answer»

Given:-

  • Initial velocity(u) = 0m/s
  • Final velocity(v) = 20m/s
  • Gravitational force (g) = 10m/s²

To find:-

  • Height of the tower.

Solution :-

GRAVITY is CAUSE of an object to fall toward the GROUND surface at a faster velocity, the longer the object falls.

There is a relation between velocity and gravity, 2AS = v² - u², where ACCELERATION(a) = gravity(g) and s = h(height).

From 3rd equation of motion,

\sf \implies \: 2gh = v {}^{2}  - u {}^{2}

\sf \implies \: 2 \times 10 \times h = (20) {}^{2}  - (0) {}^{2}

\sf \implies \: 20h = 400

\sf \implies \: h =  \dfrac{400}{20}

\large \implies \boxed {\boxed {\tt \purple { h = 20 m }}}

Therefore, height of tower is 20m.



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