A helicopter starts ascending in the sky from the ground and its position is given by 5t2 + 10t. After 10 seconds, a package is dropped out from the helicopter. What is the velocity of the package when it descends to a height of 10 m above the ground. Y
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- A projectile launched from the ground into the air lands 60 m away at a time 2 s later.Use g = 10 m/s2. What is the x-component of the initial velocity? m/s What is the y-component of the initial velocity? m/sWil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 181.8 m high. How long does it take the ball to fall to the ground? Answer: SA car is parked on a cliff overlooking the ocean on an incline that makes an angle of 18.0 below the horizontal. The negligent driver leaves the car in neutral, and unfortunately the emergency brakes are defective. The car rolls from rest down the incline for a distance of 30.0 m to the edge of the cliff, which is 45.0 m above the ocean. Ignore air and road resistance forces.A. . What is the velocity when the car hits the water?
- 4. At the construction site of a tall building, a worker is in an elevator descending at a constant downwards velocity of 5 m/s. When the elevator is 40 meters above ground level, her friend, standing at ground level, tosses a wrench straight upward with an initial speed of 25 m/s. Take the time when the wrench is tossed as t = 0. For this problem, use g = 10 m/s². a. Draw a labeled picture with symbols and all relevant values. Quantities that are different should be given different symbols, for example y, and Yw. b. Graph the velocities versus time of the elevator and the wrench on the same graph. Label axes of the graph (with units). C. At what time does the wrench and the elevator have the same velocity? 20 10 -10 -20 3 4 time (s) d. Which object (the wrench or elevator) is higher when their velocities are the same? By how much is one object higher than the other at this time? (s/u) kaAt the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude at a constant speed of v=222m/s. Upon landing, the jet can produce an average deceleration of magnitude a=16.5m/s2 What is the minimum landing distance, in meters, this jet needs to come to rest? Assume that, when the jet initially touches the ground, it is moving at the same speed as it was when it was flying.3. A ball is thrown upwards at 13.0 m/s toward the ceiling located 6 m above the point where you release the ball. Air resistance is negligible. Objects falling near the earth's surface with no forces acting except gravity have a downwards acceleration of magnitude g. For this problem use g = 10 m/s². Write any equation you use in symbolic form before substituting in numbers. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. Find the time taken to reach the ceiling. Find the velocity just before the ball touches the ceiling. C.
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- Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, and Allison catches it 2.5 s later. How far from the base of the dorm does Allison stand to catch the ball, in meters? Use g = 10.0 m/s2.We 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?A ball is projected upward at time tt = 0.0 s, from a point on a roof 30 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 81.9 m/s. Consider all quantities as positive in the upward direction. At time tt = 8.36 s, the vertical component of the ball's velocity is closest to: A. -342 m/s B.+12 m/s C. zero D. -12 m/s E.+342 m/s