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- A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?C 10 ups for prepann. A car travels 20. meters east in 1.0 second. The displacement of the car at the end of this 1.0-second interval is a. 20 m/s East O b. 20 m East OC.. 20 m d. 20 m/s1. Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 1. 2. 3. The velocity of a particle is given by v where v is in meters per second and t is in seconds. 20r 120t + 25, Plot the velocity versus time graph for the first 10 seconds. Show the zero acceleration. b. Referring to Situation A, what is the velocity of the partidle when the acceleration becomes a. zero. Plot the acceleration versus time graph for the first 10 seconds. d. Describe the slope of the velocity and discuss its relationship to the acceleration of the particle. C.
- 1. The instantaneous position of a particle atong the x-axis is given by: + (1.54) t3; x in meters and t in seconds. Determine a. the average velocity during the time intervalt = 3.00 s tot = 5.00 s b. the instantaneous velocity at t = 3.00 s c. the instantaneous velocity at t = 6.00 s d. the average acceleration during the time interval t = 3.00 s tot = 5.00 e. the instantaneous acceleration att = 2.00 s %3D4. The acceleration of a particle is given by a = Avt where A = 2.0 m/s5/2. At t = 0, v = 7.5 m/s and x = 0. What is the displacement at t = 5.0 s? a =AVt %3D On nhiect has velocity Yo (t) = 31+1î 31+1i m/s at time t = 0.00 s. The acceleration of theA particle is moving with a motion defined by x = 6t + 2t m, what is the equation for the acceleration? A. a =0 B. a = 36t m/s? = 3t/10 + t/3 m/s? D. a = 18t? +2 m/s E. None of the above. C. a
- SITUATION 15: A particle moves along a straight line such that its position is defined by sp=t-3t² +2. 107. Determine the average velocity. 4 m/s 5 m/s- b. 3 m/s d. 6 m/s a. c. 108. Determine the average speed. 4 m/s b. 3 m/s 5 m/s d. 6 m/s a. c. 109. Determine the acceleration of the particle at 4 seconds. a. 18 m/s² 15 m/s² b. 23 m/s² d. 36 m/s²С. 13 m/s? D. 4.2m/s? 2. A car has an initial position of 2.7m, an initial velocity of -1.42 m/s, and a constant acceleration of 1.7m/s. What is the position of the car at the time of 1.65s? A. 1.96m В. 6.7m С. 3.8m D. 2.5m 3. Mr. Purley crashed his car with the greatest g force ever survived by a human being. He decelerated from 53.6m/s to zero in a distance of only about .59m calculate Mr. Purley's acceleration. B. 2874m D. 3234m A. 2687m C. 2435m 4. An astronaut drops a rock on an asteroid. The rock is released from a height of 1.45m above the ground 1.89 seconds later. What is the acceleration due to gravity on this asteroid. A. -.17 m/s2 C. -.70 m/s² B. .35 m/s² D. .406 m/s2 MacBook Air3. a. With what velocity can a ball be thrown upward in order to rise to a height of 20 meters? Assume upward motion as negative. b. How long will it be in the air
- 3. Calculate the displacement and velocity at times of: а. О.5 s b. 1s c. 1.50 s d. 2s for a ball thrown straight up with an initial velocity of 15 m/s. Take the point of release to be yo = 0. Assume air resistance is negligible. Use the GUFSA (Given-Unknown-Formula- Solution-Answer) method.A particle moves in the x-y plane, starting from the origin with an initial velocity of ( 4i -8.7j) m/s. The particle experiences a constant acceleration of ( 4i ) m/s?. Calculate the speed of the particle at t = 5 s а. 99.69 b. 24.18 O' c. 584.70 d. 25.531. You are driving at 8.00 m/s south. You accelerate uniformly at 1.10 m/s? north for 5.00 seconds. How fast are you going at the end of the 5.00 seconds? What is your displacement?