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(II) At t = 0, a particle starts from rest at x = 0, y = 0, and moves in the xy plane with an acceleration
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- (2) Assume the position function of a particle at time t is given by the function p(t) = (2t°, –7t, 11) Find the (a) displacement from t = 1 to t = 3 and (b) the total distance traveled from t = 1 to t = 3. (recall that v(t) = p'(t))arrow_forward(II) A rescue plane wants to drop supplies to isolated moun- tain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 3–38)? Vx0 "Dropped" (vyo=0) 235 m FIGURE 3-38 Problem 31.arrow_forwarda Ft 3² from the origin with Vo = -14 ft/s, plot the v-t and x-t curves for 0arrow_forwardAt t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.arrow_forwardCan the magnitude of a particle’s displacement be greater that the distance traveled?arrow_forward(i) A particle is launched into the air from the ground with launch speed 8 m/s. The speed of the particle at maximumheight is 4 m/s. Find a) the launch angle. b) maximum height reached by the particle. c) range of the particle. (ii) In projectile motion, what assumption makes the horizontal speed constant?arrow_forward(II) A horse trots away from its trainer in a straight line, moving 38 m away in 9.0 s. It then turns abruptly and gallops halfway back in 1.8 s. Calculate (a) its average speed and (b) its average velocity for the entire trip, using“away from the trainer” as the positive directionarrow_forwardTransverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x direction and at t = 0 the x = 0 end of the string has its maximum upward displacement. (1) Find the frequency, period, and wave number of these waves.arrow_forwardRaindrops make an angle 0 with the vertical when viewed through a moving train window (Fig. 3–52). If the speed of the train is vr, what is the speed of the raindrops in the reference frame of the Earth in which they are assumed to fall vertically? FIGURE 3-52 Problem 61.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning