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- (a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act—that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance.)Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400 meter west, 600 meter south, and 100 meter up. From Camp 4 to the peak is 900 meter east, 200 meter south, and 200 meter up. a. What is the displacement from Camp 3 to the peak of Mt. Everest? Give distances east/west, north/south and up/down from Camp 3 to the peak. b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the distance if you drew a straight line from Camp 3 to Mt. Everest.
- 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?5. A bullet is fired at an initial velocity of 150 m/s and an angle of 56° at the top of a 120 m tall building. Neglecting air resistance, determine the following: a. The maximum height above the level ground that can be reached by the bullet. b. The time for the bullet to hit the ground. c. The velocity with which the bullet will hit the ground.A stone is thrown outward, at an angle of 65 degrees with the vertical , into the river from the edge of the cliff that is 125 meters above the wate level at a velocity of 40 kilometers per hour. Use g = 9.81 m/sec2 . 1. Determine the distance from the edge of cliff to the point where the stone drops. Answer in 2 decimal places. 2. At what height above the water level will the stone starts to fall? Answer in 2 decimal places.
- 6. Each of the questions below refers to a projectile that is launched from the top of a tower, 45.0 m above the ground, at a speed of 12.5 m/s at an angle of 40.0° up from horizontal. a. Draw a diagram of the situation, labeling all of the known quantities. Also, use a dashed line to sketch in the path of the projectile from its launch until it hits the ground. b. Find the x and y components of its initial velocity. c. How long does it take to reach its maximum height? d. How high is its maximum height above the ground? e. How long is it in the air before it hits the ground? f. How far away from the base of the tower is it when it hits the ground? g. Find the x and y components of its velocity right before it hits the ground. h. Find its speed right before it hits the ground.9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.16. You are working as a consultant on a video game designing a bomb site for WWI plane. in this game, the plane you are flying is traveling at 40.0 m/s at an altitude of 125 meters when it drops a bomb. Determine how far horizontally from the target you should released the bomb. Select one: a. 302 m b. 402 m c. 202 m d. 102 m
- 9. A ball was kicked from the ground at a velocity of 22m/s in a direction making an angle of 25 degrees upward with the horizontal. What is the maximum height reached by the object? a. b. How long was the ball in air? c. What is the horizontal range of the object? d. What is the magnitude (angle) of the velocity of the ball when it hits the ground?1. Where to go? Diego was travelling 5.00 [km], 60° N of E, then 7.00 [km], 45° S of E, and then 8.00 [km], 30° N of E. At the end of this trek, he realized that in the last leg he should have travelled 5.00 [km], 30° W of N instead of the third path he originally took. A. In component form, what path should Diego take to reach his supposed destination? B. Diego now travelled the path you calculated in A. In component form, what now is his displacement from his initial position? C. Having found treasure, Diego called for an airlift. The airlift is located 50 [km], S, from his initial position. In magnitude-bearing form, determine the path the airlift must take to reach Diego.A stone is dropped from a high cliff vertically. After 5.78 seconds, it hits the ground. How high is the cliff? (use g = 9.8 m/s^2) A. 163.7 (Why positive) B. -163.7 (Why negative) Explain and draw an illustration for your answer.