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You drop a basketball while a stiff breeze is blowing to the right. In what direction does the ball accelerate?
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- A weather station releases a weather balloon. The balloon’s buoyancy accelerates it upward at 15 m/s2. At the same time, a wind accelerates it horizontally to the right at 6.5 m/s2. What is the resulting acceleration?A ball is tossed at an angle. It moves in an arc, reaches its highest point, and then falls in an arc back to the ground. During the ball's flight, what can be said about the direction of the acceleration?Question 2: Two kids, John and Jane, are throwing two identical tennis balls up off a balcony at a 45° angle at the same time. John is able to give the ball an initial velocity twice as much as what Jane is able to. Will the two balls reach the ground at the same time? Will they land at the same distance away from the balcony? Explain your answers.
- A volcano erupted and spit a rock in the atmosphere at an angle of 35 degrees with the horizontal with an initial velocity of 25m/s. The rock hit the ground 20 meters below the crater. What is the upward velocity of the rock in m/s?A volcano erupted and spit a rock in the atmosphere at an angle of 35 degrees with the horizontal with an initial velocity of 25m/s. The rock hit the ground 20 meters below the crater. What is the downward velocity of the rock before hitting the ground in m/s?Julie is an avid skydiver. She has more than 300 jumps under her belt and has mastered the art of making adjustments to her body position in the air to control how fast she falls. If she arches her back and points her belly toward the ground, she reaches a terminal velocity of approximately 120 mph (176 ft/sec). If, instead, she orients her body with her head straight down, she falls faster, reaching a terminal velocity of 150 mph (220 ft/sec). Since Julie will be moving (falling) in a downward direction, we assume the downward direction is positive to simplify our calculations. Julie executes her jumps from an altitude of 12,500 ft. After she exits the aircraft, she immediately starts falling at a velocity given by v(t) = 32t. She continues to accelerate according to this velocity function until she reaches terminal velocity. After she reaches terminal velocity, her speed remains constant until she pulls her ripcord and slows down to land. On her first jump of the day, Julie orients…
- A golf ball leaves the club 25 m/s at an angle of 25° above the horizontal. How long does it take to fall on the ground?A weather station releases a balloon whose buoyancy accelerates it at 15 m/s². At the same time, a wind accelerates it horizontally directly west at 6.5 m/s². What is the magnitude and direction of the resultant with respect to the horizontal?Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. Suppose the falcon weighs 8.0 N and is turning with an acceleration of 15 m/s2 at the lowest point of the arc. What is the magnitude of the upward lift force at this instant?A. 8.0 N B. 12 NC. 16 N D. 20 N
- Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. At the bottom of the arc, as shown, what is the direction of the net force on the falcon?A. To the left, opposite the motionB. To the right, in the direction of the motionC. UpD. DownE. The net force is zero.Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. A falcon starts from rest, does a free-fall dive from a height of 30 m, and then pulls out by flying in a circular arc of radius 50 m. Which segment of the motion has a higher acceleration?A. The free-fall diveB. The circular arcC. The two accelerations are equal.A pool ball leaves a 0.80 m high table with an initial horizontal velocity of 3.0 m/s. What is the time required for the pool ball to fall to the ground?