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Probem 3.47

3.47. a)

While the car is on the incline, we want to determine its final velocity and the time it took to travel to the edge of the cliff. We start with the equation

tex2html_wrap_inline437

but we know here that tex2html_wrap_inline439 , so this reduces to

tex2html_wrap_inline441

or t = 5.00 s

then we can determine the final velocity,

tex2html_wrap_inline445

b)

If we want the final velocity of the car when it hits the ocean, then we need to consider the tex2html_wrap_inline415 and tex2html_wrap_inline417 directions separately. In the tex2html_wrap_inline415 direction,

tex2html_wrap_inline453

and since there is no acceleration in the x direction, the final and initial velocities in the x direction are identical. In the y direction we have the initial velocity

tex2html_wrap_inline455

we can find the time it was in the air from the equation

tex2html_wrap_inline457

tex2html_wrap_inline459

solving for t yields t = 1.54 s.

Substituting that in yields

tex2html_wrap_inline463

To get the resultant velocity we find that

tex2html_wrap_inline465 at an angle tex2html_wrap_inline467 below the horizontal.

c)

We found the time it took to fall from the edge of the cliff to the ocean on the way to find tex2html_wrap_inline469 in part b.

t = 1.54 s + 5.00 s = 6.54 s

d)

Now we want to find how far out from the edge of the cliff that the car hit the water.

tex2html_wrap_inline473 .



Jason George Zeibel
Fri Sep 26 03:10:45 EDT 1997