A stone was thrown with initial velocity of 20 m/s at angle 30 degrees above horizontal. If the stone is initially 35 m above the ground. Complete the sentences below. (0,0) 35 m y Vo = 20.0 m/s 30.0° 1 1 I 1 1 1 (x,-35.0)
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- A projectile is fired up an incline (incline angle ) with an initial speed vi at an angle i with respect to the horizontal (i ) as shown in Figure P3.46. (a) Show that the projectile travels a distance d up the incline, where d=2vi2cosisin(i)gcos2 (b) For what value of i is d a maximum, and what is that maximum value?Toron kicks a soccer ball with an initial velocity of 20 m/s at an angle of 30o above the horizontal. What is the vertical component of the ball’s velocity at the highest point of its trajectory? a 0 m/s b 10 m/s c 9.8 m/s d 4.9 m/sA ball is thrown from the top of a 35 meter high tower at a velocity of 60 m/s and at an angle of 25o above the horizontal. How far from the base of the tower does the ball land? What is its velocity just as it strikes the ground?
- A batter hits a baseball so that it leaves the bat at speed Vo = 37.0m/s at an angle ao = 53.1°, at a location where g = 9.80 m/S2. (a) Find the position of the ball, and the magnitude and direction of its velocity, at t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight and find its height h at this point. (c) Find the Iwrizontal range R-that is, the horizontal distance from the starting point to where the ball hits the ground.Do the d part In a cricket match, a batsman hits a ball at an angle of 36o from the horizontal with an initial speed of 15.5 m/s. Assuming that the ball moves in a vertical plane, find (a) the time at which the ball reaches the highest point of its trajectory, (b) its maximum height, (c) its time of flight and range, and (d) its velocity when it strikes the groundA squirrel is launched due west from a height of 10 meters with an initial velocity of 80 meters per second atan angle of 60 degrees above horizontal. A strong wind blowing directly out of the north causes the squirrel toaccelerate south at a rate of 2 m/s^2. All of this takes place in my backyard where acceleration due to gravity is 7 m/s2 (a) With the positive y–axis oriented north, the positive x–axis oriented east, and the positive z–axis up into the sky, findthe vector equation for the path of the squirrel. (b) Find the time when the squirrel is at her maximum height.
- A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is v0 = 112 mi /hr, what launch angle θ will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point?A baseball batter hits his home run ball with a velocity of 110 ft/s at an angle of 45° above the horizontal. If the ball hits the top of a screen at the 300 ft mark and bounces to the crowd, how high above the ground is the top of the screen?A lifeguard stands on top of a watch tower at the beach and purposely throws a stone horizontally with a speed of vi=18.0 m/s. The height of the tower is 50.0 m above the ground. With what speed does the stone land? How long after being released does the stone strike ground? With what angle of impact does the stone land?
- In the figure, you throw a ball toward a wall at speed 26.0 m/s and at angle 0o = 42.0° above the horizontal. The wall is distance d = 24.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall?A rocket is fired from the ground with a velocity of 760 m/s at an angle of 49° above the level ground. Find: the vertical (y) component of the velocity? the horizontal (x) part of the velocity? the total time the rocket is in the air, assuming it returns to ground level? the maximum height reached by the rocket? the horizontal distance traveled by the rocket before it strikes the ground?A soccer ball is kicked at an angle of 32.0 ̊ above the horizontalwith an initial velocity of 25.0 m/s.a) Determine the horizontal component of the initial velocity. b) Determine the vertical component of the initial velocity. c) What is the ball’s horizontal velocity at 2.00 s? d) What is the ball’s vertical velocity at 2.00 s? e) What is the horizontal displacement at 2.00 s? f) What is the vertical displacement at 2.00 s?