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- A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70cm as she throws. She releases the javelin 2.0m above the ground traveling at an angle of 30° above the horizontal. In this throw, the javelin hits the ground 62m away. a. What was the acceleration of the javelin during the throw? Assume that it has a constant acceleration. b. What is the speed of the javelin as it leaves the hand of the thrower? c. What is the maximum height reached by the javelin? O 10.5m 9.8m O 8.5m O 7.0mWe know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?12. A ball is thrown straight up into the air. At each of the following instants, is the magnitude of the ball's acceleration greater than g, equal to g, less than g, or 0? Explain. a. Just after leaving your hand. b. At the very top (maximum height). 6. Just before hitting the ground.
- A kangaroo can jump over an object 2.7 m high. a. Calculate its vertical speed when it leaves the ground, in meters per second. b. How many seconds is it in the air?A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
- Include a picture or description of your coordinate system (origin, positive direction).A hot air balloon flying horizontally at a velocity of 50m/s and at an altitude of 475 meters when one if its sandbags falls off. A. How long (in seconds) does it take the sand bags to reach the ground? B. What horizontal distance (in meters) will the bag travel before it strikes the ground?1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.
- At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.9. A driver, accelerating too quickly on a horizontal bridge, skids, crashes through the bridge railing an lands in the river 20.0 m below. The police find that the car is (horizontally) 53.6 m from the bridge. a. Determine the speed of the car before crashing through the barrier b. Do you think that this is an overestimate or underestimate, explain. Answers4. A jogger warms up by running 350 meters east at an average speed of 3.8 m/s, then running west 240 meters at an average speed of 4.2 m/s. a. How much time does the first part of the trip take? b. How much time does the second part of the trip take? c. How long does the entire trip take? d. What is the total distance for the entire trip? e. What is the magnitude of the jogger's displacement for the entire trip? f. What is the average speed for the entire trip? g. What is the magnitude of the jogger's average velocity for the entire trip?