a hunter aims his gun and fires a bullet directly at a monkey in a tree. at the instant the bullet leaves the barrel of the gun,the monkey drops. will the bullet hit the monkey .substantiate your answer with proper reasoning.
Yes the bullet will hit the monkey as both fall with downward accleration of g m/s^2.
Hint:
The bullet will hit the monkey at a ht. S above the ground given by:
S = V*Sin(theta)*t - (1/2)*g*t^2
{V-initial velocity at an angle theta with horizontal}
During this time t, the monkey falls by a distance = (1/2)*g*t^2
To determine whether the bullet will hit the monkey, we need to consider the time it takes for the bullet to reach the monkey relative to the time it takes for the monkey to drop. Let's break it down step by step.
1. When the hunter fires the gun, the bullet starts traveling towards the monkey.
2. At the same time, the monkey drops from the tree.
3. Assuming the bullet travels at a high speed, it will take a very short amount of time to reach the monkey.
4. On the other hand, the time it takes for the monkey to drop depends on the distance it falls and the acceleration due to gravity.
Now, let's analyze the scenario:
- If the monkey drops from the tree within a fraction of a second after the bullet leaves the barrel, the bullet will most likely reach the monkey before it falls completely.
- However, if the monkey takes a longer time to drop from the tree, there is a chance that the bullet will miss the monkey. This situation can occur if the monkey falls significantly faster than the bullet travels, or if the distance between the barrel of the gun and the monkey is large.
In summary, whether the bullet will hit the monkey depends on the relative speeds of the bullet and the monkey's descent. Without specific details about the distances involved or the initial height of the monkey, it is difficult to give a definitive answer.