Question

a zookeeper is trying to tranquillize a gorilla that has escaped they fire a dart vertically with a velocity of 15m/s from a height of 2 m the monkey is 20m away by what distance will the dart fall short

Answer 1

Answer on Question #62194-Physics – Mechanics | Relativity

A zookeeper is trying to tranquilize a gorilla that has escaped they fire a dart horizontally with a velocity of 15m/s from a height of 2 m the monkey is 20m away by what distance will the dart fall short

Solution

$$x = v t.$$ $$h = \frac {g t ^ {2}}{2}.$$

The time of flight is

$$t = \sqrt {\frac {2 h}{g}}.$$

The horizontal distance is

$$x = v \sqrt {\frac {2 h}{g}} = 15 \sqrt {\frac {2 (2)}{10}} = 9.5 \, m.$$

The difference will be:

$$d = 20 - 9.5 = 10.5 \, m.$$

Answer: 10.5 m from gorilla.

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