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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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.

Image Transcription

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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