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- 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.A snowball is thrown from ground level (by someone in a hole) with initial speed v0 at an angle of 45° relative to the (level) ground, on which the snowball later lands. If the launch angle is increased, do (a) the range and (b) the flight time increase, decrease, or stay the same?Problem 1: A cannon ball has been shot from a 10 height with an initial velocity of 15m/s, what is the horizontal distance from which it land? What is its time of flight?Problem 2: A man has been use to fire a cannon with an initial speed of 15 m/s at anangle of 42 degrees from the horizontal surface. What is the maximum heigh the manwas able to reach? What is the range of the man where the canon was shot? What isthe total flight of the man?What is the conclusion?
- A cannon launches a cannonball from level ground with an initial speed of 80 m/s at an angle of 280 above the horizontal. What horizontal distance does the cannonball travel when the cannonball returns to the ground? Given the same initial velocity of launch, at what other angle above the ground can the cannonball be fired and achieve the same horizontal range as before? (Assume that g = 9.81 m/s2.) a. Range = 540 m, and angle = 420 above the horizontal b. Range = 600 m, and angle = 620 above the horizontal c. Range = 270 m, and angle = 620 above the horizontal d. Range = 540 m, and angle = 620 above the horizontal e. Range = 270 m, angle = 420 above the horizontalBoat 1 leaves the pier at t = 0s and travels with a constant velocity of 20m/s 30 degrees above the horizontal. Boat B, at t = 20s, leaves the pier with a constant speed of 15m/s 60 degrees above the horizontal. What's the distance between boat a and b at 30s?A projectile is launched with speed v at an angle of ?2 above the horizontal going to a maximum height NH=4.08 H.The projectile is then launched with the same initial speed but an angle of ?1 above the horizontal going to a maximum height H.Please derive the ratio of the total time of flight of the projectile as the time for launch at angle ?2 to that time at angle ?1.
- A rugby player passes the ball 9.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used? What other angle gives the same range? For the pass using the smaller of the two angles, how long is the ball in the air?A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle θ = 43° above the horizontal. If a nearby building is the same height and 61 m away, how far below the top of the building will the ball strike the nearby building? ( Choose upward as the positive y-direction and express the displacement with the sign of the result, which must be in units of meters and include 1 digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.80 m/s2.)A projectile is launched from the floor of a continuous horizontal plane. Vo = 24 m/s. The launch angle = 45 degrees. Find the max height reached, the time of flight and the range for this projectile.
- Consider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 2.10 s later, at distance d = 26.0 m from the building and at angle θ = 65.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)?In a projectile motion experiment, the launcher is mounted horizontally at a height of 125 cm above the floor level. A sphere is shootout of the launcher and lands a horizontal distance of 176 cm away on the floor. What is the muzzle velocity? with the launcher mounted vertically,how high above the launch point would the sphere reach?