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 9.8?/?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, 1 km)?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank
recently purchased by the artillery.
Field testing has revealed the following information:
1) The tank moves from rest to a speed of 70 ??/ℎ? in 10 seconds.
2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 ??/ℎ? in 5 seconds.
You are required to address all the questions below providing all calculations, graphs, and explanations as
appropriate to back your answers
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 9.8?/?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, 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 ?(?), ??(?), and ??(?) 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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