What is the time bullet take to get at the animal ?

[UNknown 2010]

Homework Statement

A gun designed to shoot with speed 630 m/sec
Find:
a) from which point above the goal must the hunter shoot to catch an animal, if the horizontal distance between them is 700 meter ?
b) What is the max high for the bullet ?
c) what is the time bullet take to get at the animal ?

Homework Equations

The Attempt at a Solution

a) 6 meter
b) I can't solve it but the final answer as written in the book is 1.5 meter I don't know how to find it !
c) 1.1 second

 

[jeffreydk]

I can't tell from the question but is the particle fired from an angle or simply a height above the target in the straight x direction? Nevertheless, any time in projectile motion you are trying to find the maximum height of something the solution is to usually just take the projectile equation for y and find the max of it by setting the derivative equal to 0 and solving; but if there is no angle upward when firing then the max height will obviously be the initial y value.

 

[thomate1]

I'd like to clarify some points in the given content. Firstly, it is important to specify the type of animal and its speed in order to accurately determine the time it would take for the bullet to reach it. Additionally, the information provided is not sufficient to accurately answer parts a) and b) of the question, as it does not mention the angle of the shot or the height of the animal. These factors would greatly affect the answers.

Assuming a level shot and a stationary animal, the time it would take for the bullet to reach the animal can be calculated using the formula t = d/v, where t is time, d is distance, and v is velocity. Using this formula, the time it would take for the bullet to reach the animal at a distance of 700 meters and a velocity of 630 m/s would be approximately 1.11 seconds. However, this calculation does not take into account factors such as air resistance and the bullet's trajectory, which would affect the actual time it would take for the bullet to reach the animal.

In order to accurately answer parts a) and b) of the question, more information is needed such as the angle of the shot, the height of the animal, and the bullet's trajectory. Without this information, it is not possible to accurately determine the point above the goal from which the hunter should shoot or the maximum height the bullet would reach.

In conclusion, as a scientist, I would recommend providing more specific information in the homework statement in order to accurately answer the questions and understand the context of the problem.