Field testing has revealed the following information:
1) The tank moves from rest to a speed of 50 ??/ℎ? in 100 seconds.
2) Using the breaking system, the tank is brought to a complete stop from a speed of 50 ??/ℎ? in 5 seconds.
3) The maximum speed achievable by the tank is 90 km/hr.
You are required to address all the questions below providing all calculations, graphs, and explanations as
appropriate to back your answers. Hint: make sure you are using consistent units
First: Motion of the tank:
d) How long would it take the tank to travel a distance of 12 km. Assume constant acceleration equal to that calculated in
part (a) up to the maximum achievable speed of 90 km/hr after which the tank maintains its speed constant.
e) For the motion described in part (d) above, find the expressions for the acceleration, velocity and the position of the
tank as a function of time. Draw x(t), v(t), and a(t) for the entire 12 km trip. Assume motion is one dimensional along
the x-axis starting from rest at location x = 0 m
Initial velocity of tank (vo) = 0 km/hr.
Maximum velocity of tank (v1) = 50 km/hr.
Time taken to achieve the velocity (t1) = 100 s.
Time taken by tank to stop itself from 50 km/hr completely (t2) = 5 s.
Maximum speed achievable by tank = 90 km/hr.
maximum limit of velocity = 90 km/hr = 25 m/s
acceleration of tank is given as,
Time taken by tank to achieve...
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