A projectile is fired in such away that it's horizontal range is egual to three times it's maximum height.whatis the angle of projection ?
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- A ball is thrown from the top of one building toward a tall building 50 ft away. The initial velocity of the ball is 20 ft/s at 400 above the horizontal. How far above or below its original level will the ball strike the opposite wall?A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s² (b) What is the angular acceleration of the cylinder? rad/s² (c) If the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?A fish is swimming north at 1.2 m/s. It then undergoes an average acceleration of 8.3 m/s^2 51 degrees south of west for 0.25 s. What is the magnitude of the fish's final velocity. Please include a drawing
- 4- The potential difference 2 points between two point in an electric circuit is 24 V, If 0.4 J of energy were dissipated in a period of 5 ms, what would the current be between the two points? *A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 6 m. At a point on the plane, the angle of elevation of the bottom and top of the flag-staff are 30° and 45° respectively. Find the height of the tower. (Take √3=1.73)Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) Parabola, y = x² Ib Submit Answer
- 7. For each of the following equations of lines in x-y coordinates, find the values of ‘p’ and ‘θ’ in the polar system given as: “p=xcos θ + ysin θ”: a) x=4 b) y=10 c) x=y,(224), (13),.. The valae of the radix'r isA baseball is hit such that it travels straight upward after being struck by the bat. A fan observes that it requires 3.00 s for the ball to reach its maximum height. Find (a) its initial velocity and (b) its maximum height. Ignore the effects of air resistance.
- A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light.A bicycle wheel has a diameter of 64.6 cm and a mass of 1.87 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 125 N is applied tangent to the rim of the tire. (a) What force must be applied by a chain passing over a 8.96 cm diameter sprocket if the wheel is to attain an acceleration of 4.49 rad/s22? (b) What force is required if the chain shifts to a 5.57 cm diameter sprocket?Air at 30 oC flowing over a flat plate 10 points 0.5 m long and 0.6 m wide, is to be maintained at 70 oC . Determine the velocity of air which must flow over a side of 0.5m. The rate of energy dissipation from the plate is 3 KW.