SOLUTION: Hi can someone help me with this problem please? THANK YOU! The range of a projectile is modeled by the function r(theta)=1/16V^2sin(theta)cos(theta),where V is the initial vel

Question 1076665: Hi can someone help me with this problem please? THANK YOU!
The range of a projectile is modeled by the function r(theta)=1/16V^2sin(theta)cos(theta),where V is the initial velocity and theta is the angle at which the object is initially propelled. The maximum range is achieved when theta=45degrees. Use exact values to compute how many feet short of maximum the projectile falls if theta=67.5degrees and V=120ft/sec.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(1/16)120^2*1/2; the 1/2 comes from multiplying sqrt (2)/2, which are the values of the sine and cosine at 45 degrees.
=450 feet.
for theta=67.5 degrees,
(1/16)120^2*0.3536, the last the product of the sin (67.5) and cos (67.5)
=318.24 feet, or 131.76 feet short of the maximum.
RELATED QUESTIONS
Hi can someone help me with this problem please? THANK YOU! Find the exact value... (answered by htmentor,MathTherapy)

Can someone please help me with this "ballistics word problem? The height of a... (answered by jim_thompson5910,ankor@dixie-net.com)

Can someone PLEASE help me with this problem? Find the exact value of cos(2theta)... (answered by jim_thompson5910)

Can someone PLEASE help me with this problem? Thank you! If tan(theta)=9/8 and... (answered by scott8148)

Hi. can someone please help me with this question? given y=√x-4-2,determine: a.... (answered by MathLover1,Alan3354)

Hi, Can someone please help me with this. Thanks y = + square root (2x-3) Explain... (answered by stanbon)

Hi can someone help me with this problem please? THANK YOU Sketch the... (answered by Alan3354)

Hi can someone help me with this problem please? THANK YOU! Find a decimal... (answered by math_helper)

Can someone please help me with this problem? / If tan theta = 5/12, what is the value... (answered by stanbon)