A boy stands 5 m from a mango tree and throws a stone towards a mango which is 6 m above the point of projection. He projects the stone with speed 14m/s. Which of the following is a possible angle of projection for the stone to hit the mango.
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- In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?Calvin is standing on the roof of a 6.50 m tall house. His tiger Hobbes is on the ground, some distance away from the house. Calvin is throwing water balloons at Hobbes: Calvin is throwing the water balloons with speed VO at an angle of 0 below the horizontal. On his first try, Calvin hits Hobbes with the water balloon! Hobbes is 3.02 m horizontally from the base of the building and it takes 1.04 s for the balloon to hit him. Coordinate system: positive x points to the right and positive y points up.
- A parent at a Little League game returns a foul ball by throwing it back onto the field. When the parent throws the ball back, she is standing and ends up releasing the ball from a point that is 2.50m above the ground. Your best guess is that she threw the ball upward at an angle of 60o with respect to the ground and it landed 13m away from her. What was the height of the ball's apex (as measured from the ground)?A plane is travelling horizontally at 1500 km/h. A rocket is fired horizontally ahead from the plane at an angle of 6.0o from the direction of the plane and with a velocity of 2000 km/h. What is the resultant velocity of the rocket?A basketball player is standing on the floor 10.0 m from the basket as shown below. The height of the basket is 3.05 m, and he shoots the ball at a 40.0⁰ angle with the horizontal from a height of 2.00 m. At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?
- 1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- ontal distance will it cover before it strikes the level plain? Ans. a 1340 ft 1106. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- ontal.6.20 m above the street below (see figure). The vertical wall of the building ish = 7.70 m high, to form a 1.5-m- A playground is on the flat roof of a city school, hp high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall = (a) Find the speed at which the ball was launched. m/s (b) Find the vertical distance by which the ball clears the wall m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.A tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?
- William Tell must split the apple atop his son's head from a distance of 21 mm . When William aims directly at the apple, the arrow is horizontal. At what angle must he aim it to hit the apple if the arrow travels at a speed of 38 m/sm/s ?Two baseball players Bert and Casey would like to practice pitching and catching. Bert throws the baseball initially from a height of 1.76 m at a 30°-angle from the horizontal with a speed of 22 m/s. Casey, initially 30 m away from Bert, runs in the direction of the motion of the baseball at the moment of its release to catch it at at a 1.6 m height. 22 m/s 30 m What should be the speed ve of Casey for her to catch the ball? 13.05 m/s 6.55 m/s O 19.05 m/s O 5.77 m/s= 21.5 m/s. The rock leaves his hand at a height of h = 44.0 m above level ground at the bottom of A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. h (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) 44.0 Yo (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox 21.5 m/s m/s Voy (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include units in your answers.) 21.5 m/s %D Vy -9.80