A baseball is hit with a speed of 27.0 m/s at an angle of 40.0°. It lands on the flat roof of a 12.0 m - tall nearby building. Part A If the ball was hit when it was 1.2 m above the ground, what horizontal distance does it travel before it lands on the building?
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- Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .You launch a ball from a height of 10.0 m so that the horizontal component of its launch (initial) velocity is 2.183 m/s. If it lands on the ground (yf = 0.00 m) a distance of 4.831 m away, what was the original launch velocity (magnitude and angle above the horizontal)?A daredevil drove his motorcycle up an incline at 30 degree angle with the horizontal and got air borne at the end of the incline at 20 m/s, 11 m above the ground. How far horizontally did he land with his motorcycle on the ground, on a safety net?
- In the figure, a ball is launched with a velocity of magnitude 7.00 m/s, at an angle of 41.0° to the horizontal. The launch point is at the base of a ramp of horizontal length d1 = 6.00 m and height d2 = 3.60 m. A plateau is located at the top of the ramp. Does the ball land on the ramp or the plateau? When it lands, what are the magnitude and angle of its displacement from the launch point?if the marble is launched with the launch speed V_{o} but at an initial angle of , what would be the expression of v_{0} in terms of horizontal displacement x and vertical displacement y? Hint: y = (v_{0} * sin theta) * t - 1/2 * q * t ^ 2 and replace t using x = (v_{0} * cos theta) t .A football game begins with a kickoff in which the ball travels a horizontal distance of 37 m(approximately 40 yd) and lands at the same level from which it was kicked. If the ball waskicked at an angle of 44 ° above the horizontal, what was its initial speed?
- In the figure, a ball is launched with a velocity of magnitude 6.00 m/s, at an angle of 44.0° to the horizontal. The launch point is at the base of a ramp of horizontal length d1 = 6.00 m and height d2 = 3.60 m. A plateau is located at the top of the ramp. (a) Does the ball land on the ramp or the plateau? When it lands, what are the (b) magnitude and (c) angle of its displacement from the launch point?A cannon is fired over level ground at an angle of 30 degrees to the horizontal. The initial velocity at this angle is 80 m/s, but this velocity may be separated into a vertical velocity component of 40 m/s and a horizontal velocity component of 69.3 m/s. How far does the cannonball travel horizontally?A stone is catapulted at time t = 0, with an initial velocity of magnitude 20.5 m/s and at an angle of 40.2° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t = 1.13 s? Repeat for the (c) horizontal and (d) vertical components at t = 1.77 s, and for the (e) horizontal and (f) vertical components at t = 5.47 s. Assume that the catapult is positioned on a plain horizontal ground.
- A pilot flies horizontally at 1300 km/h, at height h = 35 m above initially level ground. However, at time t = 0, the pilot begins to fly over ground sloping upward at angle u = 4.3°. If the pilot does not change the airplane’s heading, at what time t does the plane strike the ground?Suppose that a shot putter can put a shot at the worldclass speed 15.00 m/s and at a height of 2.160 m.What horizontal distance would the shot travel if the launch angle is (a) 45.00° and (b) 42.00°? The answers indicate that the angle of 45°, which maximizes the range of projectile motion, does not maximize the horizontal distance when the launch and landing are at different heights.From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.80 m/s and angle of 16.0° below the horizontal. It strikes the ground 4.00 s later. With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s How far horizontally from the base of the building does the ball strike the ground? m