2. A golfer hits a golf ball with an initial velocity of 16 m/s at an angle of 44° above the horizontal. The golfer is at an initial height of 15 m above the point where the ball lands. What is the magnitude of the velocity of the ball just before it lands?
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- 1. Shown in the figure is the path (trajectory) of a particle during a time interval and its velocity vector at an instant. The speed at this instant is 10 m/s. Determine the horizontal velocity dx/dt of the particle at this instant. y 30° P - X7. You launch a projectile at an initial speed of 41.2 m/s from the ground. After 5.40 seconds of flight, the projectile lands on the ground. At what angle above the horizontal was the projectile launched? 30.0 degrees 40.0 degrees 60.0 degrees 28.6 degrees3.19 Win the Prize. In a carnival booth, you can win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point (Fig. E3.19). If you toss the coin with a velocity of 6.4 m/s at an angle of 60 degrees above the horizontal, the coin will land in the dish. Ignore air resistance. (a) What is the height of the shelf above the point where the quarter leaves your hand? (b) What is the vertical component of the velocity of the quarter just before it lands in the dish? Figure E3.19
- A batter hits the baseball A with an initial velocity of vo = 91 ft/sec directly toward fielder B at an angle of 38° to the horizontal; the initial position of the ball is 2.4 ft above ground level. Fielder B requires 0.24 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the field location at which the ball altitude is 7.9 ft. Determine the velocity of the ball relative to the fielder at the instant the catch is made. Vo 438° 2.4' Answer: VA/B = (i 204' B i+ i Next question j) ft/secThe initial speed of the ball is v0 = 22.2 m/s, the angle the ball is hit at is θ = 43o, and g = 8.4. How far away does the ball hit the ground?A baseball is thrown from an outfielder to the second baseman on a level field. The ball is in the air for a time At = 3.50 s and travels a horizontal distance of 92.0 m %3D before being caught at the same height it was thrown from. Ignore air resistance. a) What are the x- and y-components of the ball's initial velocity? b) What is the maximum height of the ball? c) When is the ball traveling at an angle of 0 = -26.0°?
- 3. A player kicks a soccer ball towards the goalkeeper, but at an angie of 37° to the horizontal and with an initial speed of 14.7 m/s. The goalkeeper stands 26.0 m from the kicker. Where will the ball land relative to the goalkeeper?A hockey puck slides off the edge of a table with an initial velocity of 23.6 m/s and experiences no air resistance. The height of the tabletop above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground? A) 72.6° B) 31.8° C 14.9° (D) 77.2° E 22.8°A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in the figure below. If he shoots the ball at a 40.0° angle with the horizontal, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basket is 3.05 m. m/s 40.0 2,00 3.05 m 10.0 m
- A rescue plane flies at 198km/hr and at a constant elevation of 500m toward a point directly over an accident victim struggling in the sea. The pilot must release a rescue capsule so that it hits the water very close to the victim.a). what should be the angle of the pilot’s line of sight when the capsule is released? EVb) what is the velocity of the rescue in the vertical plane when the capsule is released? APc). as the capsule reaches the water, what is its velocity ?̅in i. the unit vector notation? ANii. magnitude- angle notation6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to where it lands? 7. A ball is thrown horizontally from the top of a 54.0-m building and lands 117.3 m from the base of the building. Ignore air resistance. (Assume the ball is thrown in the +x direction and upward to be in the +y direction.) (a) How long (in s) is the ball in the air? s (b) What must have been the initial horizontal component of the velocity (in m/s)? (Indicate the direction with the sign of your answer.) m/s (c) What is the vertical component of the velocity (in m/s) just before the ball hits the ground? (Indicate the direction with the sign of your answer.) m/s (d) What is the velocity (in m/s) (including both the horizontal and vertical components) of the ball just before it hits the ground? magnitude…A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 650 m/s. The gun is pointed directly at the center of the bull's-eye, but the bullet strikes the target 0.023 m below the center. What is the horizontal distance between the end of the rifle and the bull's-eye?