A ball is thrown from the top of 20.0 m tall building at an angle of 45° above the horizontal. The ball has initial speed of 40 m/s. a. Calculate the maximum height above the ground that the ball reaches. b. Calculate the speed of the ball just before it hits the ground. c. Calculate the horizontal range from the base of the building to the point where the ball hits the ground.
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- 6. man stands on the roof of a 50 m tall building and throws a ball with a speed of 25 m/s at 40° above the horizontal. If we ignore the air resistance; a. Find the vertical and horizontal components of the ball's initial velocity. b. Find the maximum height above the ground that the ball reaches. c. Find the ball velocity (in unit vector nutation) just before it strikes the ground. d. At what horizontal distance from the edge of the building does the ball strikes the ground? e. What is the vertical acceleration of the ball at the maximum height? a. Vox 19.15 m/s Voy 16.07 m/s b. y = 50+ 13.18 = 63.18 m e. c. Vx = Vox = 19.15 m/s v=vxî + vyĵ = 19.15î — 35.18ĵ d. x = 100.16 m ay = -9.8 m/s² Vy = -35.18 m S 0000000000 00 DO 00 00 vo 40° 50 m4. A bullet fired horizontally from a gun is travelling at 250 m/s. The velocity of the bullet at any time t, in seconds, can be represented by v(t)=250-2t³. Assume the bullet is affected by air resistance but not gravity. How long will the bullet be in the air before it stops due to air resistance? a. b. How far will the bullet travel before it stops? Record your answer as an exact value.85. A plane travels N30°W at 450 mph and encounters a wind blowing due west at 30 mph. (See Example 9) a. Express the velocity of the plane v, relative to the air in terms of i and j. b. Express the velocity of the wind vw in terms of i and j. c. Express the true velocity of the plane v, in terms of i and j and find the true speed of the plane.
- D. 56 20. A ball is thrown vertically upward at 20 m/s from a height of 30 m above the ground. What is its speed on impact with the ground below? A. 14 m/s B. 24 m/s (C.) 31 m/s D. 44 m/sA ball is thrown at an angle of 25° above the horizontal and it reaches a maximum height of 2.9 m. a.) What is the vertical component of the ball's initial velocity? b.) What is the magnitude of the ball's initial velocity?Question A1 An object slides off a frictionless, horizontal table from a height of 1.40 m above the floor. It strikes the floor a distance of 1.88 m from the base of the table. a) Calculate the speed with which the object leaves the table. b) Calculate the velocity (magnitude and direction) of the object just before it strikes the floor.
- student throws a heavy red ball horizontally from a balcony of a tall building with aninitial speed v0. At the same time, a second student throws a lighter blue ball horizontally fromthe same balcony with an initial speed v0 /2. Ignoring air resistance, which of the followingstatements must be true?a. The red ball hits the ground with the greater speed.b. Both balls hit the ground with the same vertical velocity component.c. Both balls hit the ground with the same angle of impactd. The balls reach the ground at the same instant. More than one of the statements can be true.1. In a practice session, Iris hits a ball horizontally with a speed of 36 m/s from a height of 3.1 m. The ball travels until it hits the ground. a. Determine the time the ball is in the air. b. Determine the horizontal distance traveled by the ball. c. Calculate the ball’s velocity as it hits the ground.6. In the skateboarder scenario below, a Determine the skater's vertical displacement during the jump? b) To the nearest hundredth of a second, determine how long was the skateboarder in the air? A skateboarder rolls horizontally off the top of a staircase at a speed of m 14.5 m/s and lands at bottom of the stairs. The staircase has a horizontal length of 8.00 m. We can ignore air resistance.
- 4. A ball is shot from a cannon at 50 m/s at an angle of 30° above the horizontal. a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and +y. b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this point? c. What is the speed of the ball at the highest point in its flight?A projectile is fired with an initial speed of 36.6 m/s at an angle of 44.0 degrees above the horizontal on a long flat firing range. C.Determine the total horizontal distance covered (that is, the range). D.Determine the speed of the projectile 1.10 ss after firing.9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.