• VP1. In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is h. The mug slides off the counter and strikes the floor at distance d from the base of the counter. (a) With what velocity did the mug leave the counter? (b) What was the direction of the mug's velocity just before it hit the floor?
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- tourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true? All of the above. Magnitude of acceleration is linearly proportional to t. The speed of the particle varies with the time linearly. Direction of velocity changes with the O time but direction of acceleration does not change with the time.The position of a Particke moring along an x-axis is ginen by an X-axis is X = 3.0 t -tª, where t is in Sec & x is in nm a) Deternine the instantoneous velocity at t= 1.05 b) Determine the avrege at to l.0s & t-20s velocty c) what is the maxinum Positive X condinate reached by the Particle ?
- 1. An athlete participates in long-jump competition, leaping into the air with a velocity V, at an angle Bo with the horizontal. The acceleration due to gravity is g. (a) Find the length of the jump in terms of Vo, Bo and g. (b) Find the athlete's maximum displacement in the vertical direction in terms of vo, Bo and g.A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90 m and a takeoff speed 70 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35’s acceleration decreases to a constant acceleration of 5.0m/s2 at 30 with respect to the horizontal. (a) What is the initial acceleration of the F-35 on the deck of the aircraft carrier to make it airborne? (b) Write the position and velocity of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (c) At what altitude is the fighter 5.0 s after it leaves the deck of the aircraft carrier? (d) What is its velocity and speed at this time? (e) How far has it traveled horizontally?Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
- Projectile Motion Suppose that Adam hits a golf ball offa cliff 300 meters high with an initial speed of 40 meters persecond at an angle of 45° to the horizontal.(a) Find parametric equations that model the position ofthe ball as a function of time.(b) How long is the ball in the air?(c) Determine the horizontal distance that the ball travels.(d) When is the ball at its maximum height? Determine themaximum height of the ball.(e) Using a graphing utility, simultaneously graph theequations found in part (a)A basketball center holds a basketball straight out, 2.0 m above the floor, andreleases it. It bounces off the floor and rises to a height of 1.5 m.a) What is the ball’s velocity just before it hits the floor?b) What is the ball’s velocity just after it leaves the floor?c) If the ball is in contact with the floor for 0.02 seconds, what are the magnitudeand direction of the ball’s average acceleration while in contact with the floor?You are on the roof of a Physics Building, 19 m above the ground. Your physics professor, who is 1.87 m tall, is approaching the building at constant speed of 2.28 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?
- Problem 2) the track for this racina event decigned v6 that riders sump of th Slope at 30 degrees from the Horizontal from a height of Im.paring a race it was observed that ihe riders shornin the pigure,stayed in mid air for 1.S seconds. Determine thhe a) sperd at which he was travelling off the ram b) the spe ed Before ne hits the ground c.) the horizontal dis tance he trave) striking +he grounds and d.) the maximum heignt he attaints. Neglect +he size of + bike and rider.In a game of baseball, a player hits a high fly ball to the outfield.(a) Is there a point during the flight of the ball where its velocityis parallel to its acceleration? (b) Is there a point where the ball’svelocity is perpendicular to its acceleration? Explain in each case.A ball is thrown with an initial speed of 19 m/s at an angle 70 degrees to the horizontal. Calculate the maximum flight time At, if it lands at a point where the vertical displacement Ay is zero. Give your answer to 2 sf. Aj Vi Ax Your Answer: Answer