The pilot of an airplane pulls into a steep 50° climb at 269 km/h and releases a package at position A. Calculate the horizontal distances and the time t from the point of release to the point at which the package strikes the ground.
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- Use g = 10 m/s/s.A hunter spots a duck flying a given distance, h, above the ground (in meters) and shoots at it with his shotgun. The buckshot leaves the shotgun at an angle equal to 57.7 degrees from the horizontal with a velocity of 105 m/s. The duck is flying at a speed of 30 m/s in a horizontal direction toward the hunter. If the hunter shot when the duck was 200 meters away from the hunter and hit the duck, how high was the duck flying?An arrow is shot from a height of 1.6m toward a cliff of height H. It is shot with a velocity of 27 m/s at an angle of 60 above the horizontal. It lands on the top edge of the cliff 3.8s later. a ) what is the height of the cliff (in m)? b) what is the maximum height (in m) reached by the arrow along its trajectory? c) what is the arrows impact speed in m/s just before hitting the cliff ?
- A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. In terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. Your answer should not include h.A golf ball is hit off the ground with a speed of 34.0 m/s at a 56.0° angle with the horizontal. If the a. How high (in meters) does the ball rise? Answer: [Select] m b. If the ball lands on the ground at the same height that it was hit, how much time does the ball spend in the air? Answer: [ Select ] C. How many meters away does the ball land? Answer: [ Select ] mA projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?
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- b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise isIn the figure, you throw a ball toward a wall at speed 31.0 m/s and at angle 0o = 39.0° above the horizontal. The wall is distance d = 25.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall? LOADOGGERANSOCIAGRAMASTERNALIf the stone had been thrown front the cliff too with the same initial speed and the same angle, but above the horizontal, would it’s impact velocity be different?