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
but we know here that , so this reduces to
or t = 5.00 s
then we can determine the final velocity,
b)
If we want the final velocity of the car when it hits the ocean, then
we need to consider the and
directions
separately. In the
direction,
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
we can find the time it was in the air from the equation
solving for t yields t = 1.54 s.
Substituting that in yields
To get the resultant velocity we find that
at an
angle
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 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.
.