124Chapter 6Newton’s Laws in Three Dimensions
6
.
. Assuming the result of the previous problem for the range of a projec-
tile, R =
2v
2
sin
.
cos
.
g
, show that the maximum range is for
.
=45
°
.
7. Two cars go over the same bump in the road, Maria’s Maserati at 25
miles per hour and Park’s Porsche at 37. How many times greater is the
vertical acceleration of the Porsche. Hint: Remember that acceleration
depends both on how much the velocity changes and on how much time
it takes to change.