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The tank is to be placed on a hill that is 1 km high above the ground. The enemy's base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8m/s2 downwards. a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target? b) What is the duration it would take the bomb to hit the target? c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)? d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level. e) Draw the y(t), v,(t), and a, (t) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts.

The tank is to be placed on a hill that is 1 km high above the ground. The enemy's base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8m/s2 downwards. a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target? b) What is the duration it would take the bomb to hit the target? c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)? d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level. e) Draw the y(t), v,(t), and a, (t) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The tank is to be placed on a hill that is 1 km high above the ground. The enemy's base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8m/s2 downwards. a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target? b) What is the duration it would take the bomb to hit the target? c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)? d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level. e) Draw the y(t), v,(t), and a, (t) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts.
Transcribed Image Text:The tank is to be placed on a hill that is 1 km high above the ground. The enemy's base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8m/s2 downwards. a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target? b) What is the duration it would take the bomb to hit the target? c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)? d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level. e) Draw the y(t), v,(t), and a, (t) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts.
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