A certain airplane has a speed of 262.6 km/h and is diving at an angle of 0 = 31.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 660 m. (a) How long is the decoy in the air? (b) How high was the release point?
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- A certain airplane has a speed of 303.3 km/h and is diving at an angle of 0= 26.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 676 m. (a) How long is the decoy in the air? (b) How high was the release point? (a) Number i 8.9 Units S (b) Number i -716.6 Units mA baseball is hit from a height of 1.0 m at an angle of 27 degrees above the ground. It just barely clears a fence that is 4.0 m tall and 122 m away. What was the initial speed of the ball when it was hit? (ignore air resistance)Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79. What is the range of the projectile (i.e., how far does it travel? Round your answers to two decimal places).
- A high-performance jet plane, practicing radar avoidance maneuvers, is in horizontal flight 40.0 m above the level ground. Suddenly, the plane encounters terrain that slopes gently upward at 3.90°, an amount difficult to detect (see the figure). How much time does the pilot have to make a correction to avoid flying into the ground ( s)? The speed of the plane is 1200 km/h.The initial speed of a tennis ball is 57.5 m/s and the launch angle is ?i = 16°. Neglect air resistance.Question 1) What is the maximum height, h, of the tennis ball? in mQuestione 2) What is the range, R, of the tennis ball? in m info given: what angle results in the greatest height=90 For this 90° angle, the horizontal component of velocity is zero, so the initial velocity is completely in the vertical direction, resulting in greatest height Kato tries substituting ty,max for t, 0 for yi, and h for yf, and gets h = vi2 sin2 ?i 2g When ?i = 90°, sin2 ?i is maximum, so h is maximum what angle results in the maximum horizontal range=45° I substituted 2vi sin ?i g into the expression for the horizontal component of velocity, (vi cos ?i)t, and got R = 2vi2 sin ?i cos ?i g when ?i = 45°, 2?i = 90°, and sin 90° = 1, which is its maximum value.An archer shoots an arrow at a 40 degrees angle to the horizontal. At the top of its motion, the arrow just clears a 67 m high oak tree. How fast was the arrow going when it left the bow? (Assume it was shot from a height of 1.0 m above the ground.) How far away is the archer from the tree?
- Use the technique of separating the problem into X- and Y- components to solve this problem: A Halloween prankster throws an egg out the window of an office building down onto the parking lot below. The egg is thrown with a velocity of 18 meters / second, at an upward angle of 23 degrees, and is release exactly 53 meters above the surface of the parking lot. The egg lands on the roof of a parked SUV, 2 meters above the surface of the parking lot. Using a gravitational constant, g, of 9.8 meters / second² calculate the following: 1) The time it takes for the egg to hit the parked SUV. (seconds) 2) The total distance away from the building that the egg lands. (meters)A secret agent skis off a slope inclined at θ = 32.7 degrees below horizontal at a speed of v0 = 18.6 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 15.3 m below the edge of the upper slope. 1)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?Your bow can fire arrows at 70 ??. You shoot an arrow straight up into the air. After 1 second, you shoot anotherarrow into the air.a) If you are shooting the arrows from 2 m above the ground, how far above the ground do the arrowscollide? (Answer: 251 m)
- A cliff with an angled summit 900 m above the valley floor is a popular jumping off point for base jumpers.One particular base jumper gets a running start and runs off the side of the cliff with a velocity of 4.00 m/sat an angle that is 25.0 degrees below the horizontal, as shown.(a) How long is the base jumper in the air before she opens her parachute 150 m above the valley floor?(b) How far (horizontally) is she away from the cliff?Acertain airplane has a speed of 297.6 km/h and is diving at an angle of 0 = 33.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 651 m. (a) How long is the decoy in the air? (b) How high was the release point?An arrow was shot from a height of 1.6 5M toward a cliff of height H. it is shot with the velocity of 35 m/s at an angle of 60 degrees above the horizontal. It lands on the top edge of the cliff 3.6 s later. (A) what is the height H of the cliff in M? (B) what is the maximum height reached by the arrow along as trajectory in meters? (C) what is the arrow speed just before hitting a cliff in m/s?