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33% Part (a) Write an equation for y as a function of x,d , and phi for the line that defines the slope of the

33%

Part (a) Write an equation for

y

as a function of

x,d

, and

\\\\phi

for the line that defines the slope of the hill.\

y=xtan(\\\\phi )-dtan(\\\\phi )

\

33%

Part (b) Write an equation for

y

as a function of

x,g,v_(0)

, and

\\\\theta

of the trajectory of the projectile.\

y=xsin(\\\\theta )/(cos(\\\\theta )-0.5g(x^(2))/((v_(0)cos(\\\\theta ))^(2)),)

Correct!\

33%

Part (c) What is the

x

coordinate, in meters, of the landing spot of the projectile?\

x=

\

m

\

1

\ Hints: 1 for a

0%

deduction. Hints remaining: 0\ Feedback:

0%

deduction per feedback.\ -Set the equations from parts (a) and (b) equal to one another and make a quadratic\ equation to solve for

x

.\ Submission History\ All Date times are displaved in Eastern Standard Time. Red submission date times indicate late work.

image text in transcribed
(6\%) Problem 16: A projectile is launched towards a hill that is d=328m away. The launch angle is =55.1 above the horizontal with an initial speed of v0=72.1m/s. The hill can be approximated as a plane sloped at =32.4. Neglect air resistance. 33% Part (a) Write an equation for y as a function of x,d, and for the line that defines the slope of the hill. y=xtan()dtan() Correct! 33% Part (b) Write an equation for y as a function of x,g,v0, and of the trajectory of the projectile. y=xsin()/cos()0.5gx2/(v0cos())2 Correct! 33% Part (c) What is the x coordinate, in meters, of the landing spot of the projectile? x= m Hints: 1 for a 0% deduction. Hints remaining: Feedback: deduction per feedback. -Set the equations from parts (a) and (b) equal to one another and make a quadratic equation to solve for x. Submission History All Date times are displaved in Eastem Standard Time. Red submission date times indicate late work

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