CSUF Portal. Horne × ] Course: Fall 2017 A ,WileyPLUS .-) C ià Secure https://ed

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CSUF Portal. Horne × ] Course: Fall 2017 A ,WileyPLUS .-) C ià Secure https://edugenwileyplus.com/edugen student mantr.uri Halliday, Fundamentals of Physics, 10e UNDAMENTAL PYSICS (PHYS 225/226/227) Read Study &Practke; Gradebook ORION Dwloadle elestbook b. ent>Open Assignment Chapter 04, Problem 020 Your anser is partially comect. Try again In the ligure, particle A meves along the ine y 35 m with a constant velocity of magnitude 2.9 mys and directed parallelto tice w the x axis. At the instant particle A passes the y axis, particle 8 leaves the origin with zero inibial speed and constant acceleration ection a g at sp otorist s ection an g at spe otorist w Type here to search SC FS F3 F4

Explanation / Answer

given

particle moves along y = 35 m

V = 2.9 i m/s ( i is a unit vector along x direction, j along y)

at t= 0, particle A croses y axis, perticle B starts from origin with initial velocity = 0, acceleration = a = 0.5 m/s/s directed at angle theta

so, for collision at time t

for particle B

x = 0.5*a*sin(theta)*t^2 = Vt

y = 0.5*a*cos(theta)*t^2 = 35

so, sin(theta)*t = 11.6

cos(theta)*t^2 = 140

cos(theta)*(11.6/sin(theta))^2 == 140

cos(theta)= 1.04042(1 - cos^2(theta))

1.04042*cos^2(theta) + cos(theta) - 1.04042 = 0

solving for cos(theta)

cos(theta) = 0.628

theta = 51.02 deg

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