An archer shoots an arrow at a 78.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow. (a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 33.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.) (b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch? O under

As illustrated in the figure, consider a soccer player kicking a stationary ball of mass m = 0.5 kg. Assuming that the air resistance is negligible, the ball undergoes a projectile motion (shown in figure). It is recorded that the angle of release of the ball is 0 = 25.2° and the maximum height reached by the ball is h = 4.5 m. If the time during which the foot of the soccer player remained in contact with the ball is At = determine: (a) The speed of release, V, of the ball 0.12 s, (b) The horizontal distance, I, between the initial position of the ball and the landing point (c) The momentum, p, of the ball at the instant of takeoff (d) The magnitude of force, F, applied on the ball by the soccer player У

At a pool, a 3.26 kg life ring is thrown by a lifeguard to a struggling swimmer. The lifeguard stand is 1.75 m above the water. If air resistance is negligible and the life ring is launch with a speed of 8.23 m/s at the angle indicated in the figure: a) Find the height of the life ring and the net force on the life ring at point P. b) Find how far the life ring lands from the base of the stand. c) With what velocity did the life ring strike the water at point Q? 30°

A skier is travelling horizontally across frictionless snow at 10 m/s. He goes up an also frictionless slope and his speed drops to 5 m/s at the top when he resumed moving horizontally. How high did he go?

A cannon, located 60.0 m from the base of a vertical 15.0-m-tall cliff, shoots a 15 kg shell at 43.0∘ above the horizontal toward the cliff.   What must the minimum muzzle velocity be for the shell to clear the top of the cliff?   The ground at the top of the cliff is level, with a constant elevation of 15.0 m above the cannon. Under the conditions of the previous part, how far does the shell land past the edge of the cliff?

Early test flights for the space shuttle used a "glider" (mass of 900 kg including pilot). After a horizontal launch at 460 km/h at a height of 3600 m, the glider eventually landed at a speed of 200 km/h. What was the average force of air resistance exerted on it if it came in at a constant glide angle of 10degrees to the Earth's surface?

You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.

A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?

A person starts from rest at the top of a large frictionless spherical surface, and slides into the water below (see the drawing). At what angle θ does the person leave the surface? (Hint: When the person leaves the surface, the normal force is zero.)

A canon ball of mass 10 kg is fired from a cannon located on the edge of a cliffoverlooking the sea as shown below. The cannon is 45 m above sea level. Thecanon ball is fired at an angle of 15° from the horizontal with an initial speed of250 m/s. Air resistance may be ignored What horizontal distance (in km) will it travel before it falls into the sea? answer = 3.35kN What will be its speed (in m/s) as it hits the surface of the sea? answer = 252m/s please show all working with explanantions