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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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- (II) An airplane is heading due south at a speed of 688 km/hIf a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action.[Hint: First draw a diagram.arrow_forwardGiven a parametric parabolic trajectory of x = 56t and y = 76t - 4.9t where x and y are measured in meters and t is measured in seconds. 120 m Determine the following 1) the vector of acceleration during the flight, 2) the vector of velocity at O 3) the maximum height h and the range L.arrow_forward(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
- a Ft 3² from the origin with Vo = -14 ft/s, plot the v-t and x-t curves for 0arrow_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_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_forward(b) A train slows down as it rounds a sharp horizontal turn, slowing from 180.0 km/h to 100.0 km/h in the 30.0 s that it takes to round the bend. The radius of the curve is 300 m. Compute the acceleration at the moment the train speed reaches 100.0 km/h. Assume it continues to slow down at this time at the same rate.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