A stone that is thrown vertically upwards was having a velocity of 15m/s after reaches 2/3 of its maximum height. What is the maximum height that can be reached by the stone?

A. 9.8m
B. 11.5m
C. 22.9m
D. 34.4m​

Respuesta :

The correct answer is option B. The maximum height that can be reached by the stone is determined as 11.5 m.

Maximum height attained by the stone

The maximum height attained by the stone when it is a 2/3 of its total height is calculated as follows;

v² = u² - 2gh

where;

  • v is final velocity at maximum height, v = 0
  • u is initial velocity
  • g is acceleration due to gravity

0 =  u² - 2gh

2gh =  u²

h =  u²/2g

h = (15²)/(2 x 9.8)

h = 11.48 m

h = 11.5 m

Thus, the maximum height that can be reached by the stone is determined as 11.5 m

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