Here we will use vector components to track the positions of raoul and maria as they set out walking from their aunt’s house. for simplicity, we will assume that the aunt’s house is at the origin of our coordinate system. raoul walks a certain distance straight east and then a certain distance straight north. he ends up at a position that is 500 m from the house in a direction that is 35∘ north of east. maria, instead, walks first straight west and then straight south. her final position is 700 m from the starting point in a direction that is 55∘ south of west. how far did raoul walk on the east leg of his trip? how far on the north leg? similarly, how far did maria walk on the west leg and how far on the south leg? express these quantities in terms of displacement vectors and their components, using a coordinate system with the +x axis pointing east and the +y axis pointing north. part araoul’s friend johnny sets out from his house in the city. his displacement is 900 m 30 ∘ north of west. what is the x component of his displacement vector? express your answer in meters as an integer. part bwhat is the y component of his displacement vector? express your answer in meters as an integer.

The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ? t ? 8. (a) when is the position function decreasing? (round you

Jason and mia are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t = 0 s) you notice that mia is an unknown distance d ahead of jason and both are moving with the same initial velocity v_0. you also notice that jason is accelerating at a constant rate of a_j, while mia is deaccelerating at a constant rate of -a_m. jason and mia meet each other for the first time at time t = t_1. at this time (t = t_1) jason's velocity is two times that of mia's velocity, meaning v_j (t_1) = 2v_m (t_1). a) draw the position vs. time graph describing mia's and jason's motion from time t = 0 to time t = t_1. clearly label your axes and initial conditions on your graph. b) draw the velocity vs. time graph describing mia and jason's motion from time t = 0s to time t = t_1. clearly label your axes and initial conditions on your graph. c) how long from when the stop watch was started at t = 0s did it take mia and jason to meet? express your answer in terms of know quantities v_0, a_m, and a_j. d) when the stop watch started at time t = 0s, how far apart, d, were mia and jason? express your answer in terms of know quantities v_0, a_m, and a_j.

Ajet plane has a sound level of 120 db at a distance of 60 m. what is the q23. sound level at a distance of 6.0 km? (60)2 (6000)? om solution 80db db, hint: 16x assume ultrasound waves travel through the body of an animal at 1540 q24. m/s. if a 30,000 hz signal were reflected off a portion of a heart which was moving toward the source at 3 m/s, what frequency signal would return to the stationary source? solution 30.117hz