A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of $\text { of } 45 ^ { \circ }$ with respect to the ground. Find the range. Round your answer to one decimal place.
A)203 feet
B)259.5 feet
C)275.7 feet
D)386.6 feet
E)215.6 feet

Question

Quizplus · Accepted Answer

The range is given by the formula:$$R = \frac{v^2 \sin 2	heta}{g}$$where v is the initial velocity, 	heta is the angle of projection, and g is the acceleration due to gravity.Substituting the given values into the formula, we get:$$R = \frac{(80)^2 \sin 2(45^\circ)}{32} = 203.1 	ext{ feet}$$Rounding to one decimal place, the range is 203.1 feet.

A Baseball Is Hit 3 Feet Above the Ground at 80