This is my second time posting this. Someone commented on it the first time and

Question

This is my second time posting this. Someone commented on it the first time and said part B does not have enough information which is false because this is all the info my teacher gave me.

A hovercraft moves across a horizontal ice sheet described by the xy plane. The craft and pilot have a mass of 358 kg. At the instant that a strong wind begins to blow, the

hovercraft has a velocity v=4 m(^i)+6.25 m(^j) The wind applies a force given by F= 208 + 49.5t^3

at an angle of 235 degrees relative to +x. The force expression is in units of Newtons when time in measured in seconds.

a) What are the units of each of the constants in the expression for force?

b) Calculate the displacement of the hovercraft from the instant that the wind begins to blow until it reaches a zero velocity in the y direction.

Explanation / Answer

F=208+49.5t^3

Let, F=a+bt^3; Since, a=208 and b=49.5

Unit of Force, F=kgms^-2

Therefore, 'a and bt^3' should be kgms^-2.

So, a=kgms^-2 and

bt^3=kgms^-2

bs^3=kgms^-2

Therefore, b=kgms^-5

Hence, the unit of the constants in the expression for force is,

208 kgms^-2 or N

49.5 kgms^-5

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