Second: Motion of the fired bomb:The tank is to be placed on a hill that is 2 km high above the ground. The enemy’s base is located at a horizontal distance of 8km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant andequal to 9.8?/?2 downwards.a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit thetarget?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, 2 km)d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) whenthe bomb reaches the ground level.
Second: Motion of the fired bomb:
The tank is to be placed on a hill that is 2 km high above the ground. The enemy’s base is located at a horizontal distance of 8
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 9.8?/?
2 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, 2 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.
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