Question 1196539: Two equations can be used to track the position of a baseball t seconds after it is hit. For instance, suppose
h = −16t2 + 45t + 4.7
gives the height, in feet, of a baseball t seconds after it is hit, and
s = 103.9t
gives the horizontal distance, in feet, of the ball from home plate t seconds after it is hit. (See the following figure.) Use these equations to determine whether this particular baseball will clear a 10-foot fence positioned 340 feet from home plate.
Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
From SECOND equation, you should calculate the time needed to cover 340 feet horizontally
at the horizontal rate of 103.9 ft/s.
Having it, you should substitute this time value into FIRST equation and CHECK,
if the corresponding height is greater than 10 feet.
So, all needed instructions are given to you;
the rest is boring, mechanistic and routine arithmetic, feasible for every student.
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