7. An object is propelled upward at an angle 45° s x< 90°, to the horizontal with an tnitial velocity of vo feet per second from the base of a plane that make an angle of 45° with the horizontal. See the ilustration. If atr resistance is ignored, the distance R that tt travels up the tncltned plane is: R(0) = a) Show R(8) =. vỗ v2 cose(sin0 – cos®). 16 "5 v2 (sin(20) - cos(20) – 1] 32 14s. 6) Find the angle e that maximizes R by solving sin(20) + cos(20) = 0 c) What is the maxímum distance Rif v, = 32 ft/ sec? %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. An object is propelled upward at an angle 45° s x < 90°, to the horizontal with an
initial velocity of vo feet per second from the base of a plane that make an angle of
45° with the horizontal. See the ilustration. If air resistance is ignored, the
distance R that it travels up the tnclined plane ts: R(0)
a) Show R(0) = vá v2 (sin(20) – cos(20) – 1]
-cose(sine – cos0).
16
32
objectf
6) Find the angle e that maximizes R
by solving sin(20) + cos(20) = 0
c) What is the maxímum distance
Rif vo = 32 ft/ sec?
Transcribed Image Text:7. An object is propelled upward at an angle 45° s x < 90°, to the horizontal with an initial velocity of vo feet per second from the base of a plane that make an angle of 45° with the horizontal. See the ilustration. If air resistance is ignored, the distance R that it travels up the tnclined plane ts: R(0) a) Show R(0) = vá v2 (sin(20) – cos(20) – 1] -cose(sine – cos0). 16 32 objectf 6) Find the angle e that maximizes R by solving sin(20) + cos(20) = 0 c) What is the maxímum distance Rif vo = 32 ft/ sec?
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