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A telemetry system is used to quantify kinematic values of a ski jumper immediately before she leaves the ramp. According to the system
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Vector Mechanics For Engineers
- 2/9 Experimental data for the motion of a particle along a straight line yield measured values of the velocity v for various position coordinates s. A smooth curve is drawn through the points as shown in the graph. De- termine the acceleration of the particle when s 20 ft. Ans. a = 1.2 ft/sec2 8. 10 15 20 25 30 s, ft 6, 4. 2. v, ft/secarrow_forwardA telemetry system is used to quantify kinematics values of a ski jumper immediately before she leaves the ramp, as shown. The system gathers the following information: r= 500 ft 0 = 25° e= 0.07 rad/s Ö= 0.06 rad/s? Determine (a) the velocity of the skier immediately before she leaves the jump, (b) the acceleration of the skier at this instant, (c) (5 additional points if your solve this correctly) the distance of the jump d neglecting lift and air resistance. Note: In projectile motion, if the initial angle of projection 0 is below the horizontal, the initial y-component of the velocity is directed downward. i=-105 f/s F = -10 ft/s? 30 10 tarrow_forwardA car P travels along a straight road with a constant speed v = 64 mi/hr. At the instant when the angle 0 = 60°, determine the values of r in ft/sec and 8 in deg/sec. Assume = 113! Answers: r = 1 0 = F MI x חומון V ft/sec deg/secarrow_forward
- QI. The position coordinate (distance) of a particle moves along a straight line is given by the relation [ x =&3— t*=3t2—~40t+50 ] . Determine : (a) The velocity of the particle when the acceleration is (a =34 m /sec?). (b) The distance during the interval from (t=2 sec )itoi(§ti=l6iseci)=arrow_forward> Question 3 [2/108]: The sphere P travels in a straight line with speed v = 10 m/s. For the instant depicted, determine the corresponding values of r and è as measured relative to the fixed x - y coordinate system. } K 1 I 5 m 211- P 1 30⁰ 4 m Question 4 [2/109]: If the 10-m/s speed of the previous problem is constant, determine the values of * and at the instant shown.arrow_forwardThe linkage shown consists of 2 sliders, 1 bar, and a plate. The velocities of A and C are given to be VA = 2 m/s Vg = 3 m/s At the instant given. Find the velocity of point B. Use vector notation. 0.1m W1 rad/s 0.26m 12. rad/s VB m/sarrow_forward
- The blue curve shown in Figure below display the motion of a particle in x direction with respect to time. For each of the marked points in Figure, find (a) the velocity and (b) the acceleration vector for the particle. а. 4.5 4 A 3.5 3 2.5 1.5 0.5 1 1.5 2 2.5 3.5 4 t b. Suppose that a traction on the foot maintained shown in the figure below. Draw the free body diagram and find the force F applied by the foot muscle. 35 35 20 Narrow_forwardAt time t = 0, an aircraft is located at (x, y) = (3km, -1km) in a two-dimensional coordinate system. Its velocity is 7 = (-30m/s, 80m/s). a) Write down an expression for the position of the aircraft at later times, as x(t), y(t), and deter- mine the aircraft's speed. b) Determine r(t), the distance of the aircraft from the origin. How close does the aircraft get to the origin and at what position and time does this happen? c) Make a plot of the path of the aircraft during 1 minute of flight (from t = 0 to t = 1 minute). Mark the origin with a square symbol and use axis equal in Matlab. Note, when making plots, make sure to label your axes and specify units.arrow_forwardThe diagram below represents a swimmer. The swimmer is capable to swim in a still water with a velocity Vị = 1 m's. He aims his body directly across a 100 m wide river whose current has a velocity V;=2 m/s. Use this diagram to answer questions 1 through 3. 1. The time it will take for the swimmer to cross the river is .. (A) 10 sec (B) 20 sec (C) 50 sec (D) 100 sec 2. How far downstream will he land? The correct answer is (A) 100 m (B) 200 m (C) 150 m (D) 180 marrow_forward
- 4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]arrow_forwardThe slider block A is moving downward at va = 5 m/s. (Figure 1) Part A Determine the x and y components of the velocity of the block B at the instant shown. Express your answers using three significant figures separated by a comma. ΠΥΠ ΑΣ φ vec ? (vB)2, (VB)y = m/s Submit Request Answer Part B Figure Determine the x and y components of the velocity of the block C at the instant shown. Express your answers using three significant figures separated by a comma. 300 mm vec 250 mm D 400 mm (vc)z, (vc)y = m/s 300 mm 30 Submit Request Answerarrow_forwardAssume suitable value for any missing data. Two cars A and B are travelling in the lane of an adjacent highway at the position and speed shown in the figure (this instant is called t = 0). Car A is moving at an equivalent speed of 0.54 m/s, and Car B is 0.36 m/s. It moves at a constant deceleration rate of /s^2. (a) Find when and where A overtakes B. (b) Find the speed of each car at that moment.arrow_forward
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