Question #226623

A hovercraft stays off the ground by blowing air out underneath it. It can accelerate (forwards or backwards) at 0,6 m/s^{2} by blowing air with a steering fan (backwards or forwards). If the hovercraft is moving forwards at 12 m/s and the steering fan is suddenly turned to accelerate the hovercraft backwards, calculate:

a) the velocity of the hovercraft after 2 s

b) the time it takes for the hovercraft to reach zero velocity

c) the velocity of the hovercraft after 29 s

d) the displacement of the craft when it has zero velocity

e) the displacement of the hovercraft when it is moving backwards at 16m/s

f) Clearly show what the value of **h(max),t(total)** and** v**

State whether the hovercraft is going backwards or forwards after each questionâ€™s answer.

*(Make forward direction positive and backwards direction negative)*

Expert's answer

Part (a)

we have to find velocity after 2sec is:

(here a=-0.6m/s^2 because the hovercraft suddenly start moving backward)

Part (b)

we have to find time taken by hovercraft when its velocity become zero:

using same formula:

Part (c)

velocity after 29sec is:

Part (d)

displacement when velocity becomes zero:

Part (e)

displacement when it is moving backward at velocity 16m/s

Part(f)

(1st eqaution of motion)

therefore, (time of going upward)

hence, total time of flight is

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