In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of 3.1 m/s from one corner of a smooth, flat board that is tilted up at a 20∘ angle. To win, you must make the ball hit a small target at the adjacent corner, 2.20 m away. At what angle θ should you tilt the ball launcher?

Q: The egg is launched at a speed of 47 m/s at an angle of 56 degrees above the horiztonal. At exactly…

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Q: During a tennis match, a player serves the ball at 23.6 m/s, with the center of the ball leaving the…

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Q: Two asteroids collide and stick together, with initial and final states as shown. If the velocity…

A: Given that: Mass of the smaller asteroid=m Mass of the larger asteroid=2m Initial speed of the…

Q: To decide who pays for lunch, a passengeron a moving train tosses a coin straight upward with an…

A: (a) Relative to the ground, the coin has both vertical horizontal components of velocity. However,…

Q: In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer. The barrel…

A: Given data: Angle above the horizontal, θ=540 Initial velocity of the shell,  u=350 m/s  Time taken…

Q: A projectile is fired from point A with an initial velocity v0. (a) Show that the radius of…

A: In the given figure,

Q: A small, experimental aluminum airplane leaves its classified location on a foggy and overcast day,…

A: Given information: The initial horizontal velocity of the capsule (Vh) = 55.0 m/s The height at…

Q: A marble ,rolling with speed 25 cm/s ,rolls off the edge of a table that is 80 cm high . How…

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Q: A tracking radar lies in the vertical plane of the path of a rocket which is coasting in unpowered…

A: Given :       θ = 30°   The tracking data :             r = 25×104 ft             r˙ = 4000 ft/sec…

Q: A projectile is fired horizontally from a gun that is 45.0 m above flat ground, emerging from the…

A: The time it stays in the air can be calculated as follows,

Q: Point A moves uniformly with velocity v so that the vector v is continually “aimed” at point B which…

A: Given information:The velocity of the point “A” = v (in the direction of point “B”)Velocity of the…

Q: a projectile is fired from the origin at t 0 with a positive v component, the maximum Hight h can be…

A: Given:- A projectile motion of the object is given in the figure  Find:- For the maximum height,…

Q: . A Projectile with a muzzle velocity of 550 m/sec is fired from a gun on top of a cliff 460 m above…

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Q: A projectile is fired horizontally from a gun that is 45.0 m above flat ground, emerging from the…

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Q: A rifle that shoots bullets at 456 m/s is to be aimed at a target 42.7 m away. If the center of the…

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Q: A particle move through 3-space in such away that it's velocity is v(t) = i + tj +t²k Find the…

A: Velocity vector V(t) : It is a vector which gives information about the velocity in x, y and z axis…

Q: A seasoned mini golfer is trying to make par on a tricky number five hole. The golfer can complete…

A: Given:angle of the ramp, θ = 45odistance between ramp and the hole, d= 2.35 mheight of the hole, y =…

Q: You kick a ball with an intial velocity whose magnitude is 38.9 m/s and whose direction is 8°. How…

A: Given data:  Initial velocity (v0) = 38.9 m/s Angle (θ) = 8° Required: Horizontal Range (R)

Q: A boat crosses a river of width 225 m in which the current has a uniform speed of 1.35 m/s. The…

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Q: A tennis ball is hit upward into the air and moves along an arc. Neglecting air resistance, where…

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Q: The speed of a projectile when it reaches its maximum height is one-half its speed when it is at…

A: let the initial velocity = u Let the launch angle = θ

Q: An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the…

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Q: An electronic is projected as shown in the figure with an initial speed of Vo = 5.83x106 m / s and…

A: Given,initial speed of an electron, vo = 5.83 ×106 mat an angle of θ = 39.0°Electric field, E = 1870…

Q: Imagine a firework has a fuse designed so that it explodes at the highest point of its trajectory,…

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Q: A particle is launched, from O(0,0) at a speed of 30m/s at an angle of 30°. The time taken by the…

A: if the particle is launched at the speed of 30 m/s at an angle of 30owith the horizontal, then,…

Q: A rifle that shoots bullets at 451 m/s is to be aimed at a target 43.6 m away. If the center of the…

A: The given question can be represented in a figure as follows: (since the path of the bullet will be…

Q: If the cannon is on ground level (delta y = 0), how far downrange will the projectile land? Given…

A: It is mentioned that , cannon is on ground level. initial velocity   vi =19 m/s. the angle of…

Q: The cannon on a battleship ship can fire a shell a maximum distance of 39.0km What's the velocity…

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Q: A particle is launched, from O(0,0) at a speed of 30m/s at an angle of 0°. The time taken by the…

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Q: A guy is standing on a relatively flat surface (h = 0 m). A pesky drone is flying overhead at a…

A: Let us assume the arrow hits the drone when it has reached its maximum height. Let v1 be the…

Q: The jet transport Bis flying north with a velocity vg = 470 km/h when a smaller aircraft A passes…

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Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

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Q: Given vi = 18 m/s,  (delta) y = - 10m Angle degree = 0, launch horizontally 1) What is (delta) x?…

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Q: A target lies a distance R = 1100 m from a cannon across level ground, and a distance d = 780 m…

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Q: Starting from the relative position shown, aircraft B is to rendezvous with the refueling tanker A.…

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Q: A projectile is launched from point A with an initial speed v, = 100 ft/sec. Determine the minimum…

A: Given: Initial velocity=v0=100 ft/sec x-component of velocity=100cosα y-component of…

Q: wct of noth 9. A car starts from the origin and is driven 1.2 km south and then 3.1 km in a…

A: Given: The first displacement is 1.2 km. The direction is toward the south. The second displacement…

Q: A basketball player is standing on the floor 14.0 m away from the basket. The height of the basket…

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Q: I hit a baseball into a pop fly at 41 m/s at a 60 degree angle from horizontal. (Level ground, Earth…

A: Initial speed of baseball (u) = 41 msLaunch angle (θ) = 60 degree g = 10 ms2

Q: A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in…

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Projectile Motion