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Answer the following questions for projectile motion on level ground assuming negligible air resistance, with the initial angle being neither
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Physics: Principles with Applications
- A projectile launcher is clamped to a bench with the muzzle 0.85 m from the floor. It launches a small ball at an angle of 35° with a velocity of 15.5 m/s. The ball travels freely until it eventually hits the floor, assuming no air resistance or draughts calculate the following: a) The time it takes to reach its maximum height. b) The maximum height of the ball above the floor. c) The total time the ball spent in the air d) The total distance travelled horizontally by the ball from the end of the muzzle to its first impact with the floor.arrow_forwardA ball is kicked with an initial velocity of 16 m/s at an angle of 35 degrees above the horizontal. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c)What maximum height is attained by the ball?arrow_forwardA man stands on the roof of a 15.0 m tall building and throws a rock with a speed of 30.0 m/s at an angle of 35° above the horizontal. Ignore air resistance. Calculate (a) the maximum height above the roof that the rock reaches. (b) the speed of the rock just before it strikes the ground; and (c) the horizontal range from the base of the building to the point where the rock strikes the ground.arrow_forward
- A bullet is fired at an initial velocity of V m/s and an angle of 65° at the top of a 150 m tallbuilding. Neglecting air resistance, determine the following:a) The maximum height above the level ground that can be reached by the bullet.b) The time for the bullet to hit the ground.c) The velocity with which the bullet will hit the ground. the value V=13.arrow_forwardA ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/secarrow_forwardA rocket is launched from Point A with an initial velocity vo of 85 m/s. If the rocket lands a distance L = 65 m from A, determine (a) the angle a that vo forms with the vertical, (b) the maximum height above Point A reached by the rocket. Take B = 50°. Vo [deg). The angle a is _ (ml. The maximum height isarrow_forward
- During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?arrow_forwardA large cannon is fired from ground level over level ground at an angle of 300 above the horizontal. The muzzle speed is 980 m/s. Neglecting air resistance, answer the following questions: a) what is the maximum height that the projectile will reach? b) how long till the projectile will hit the ground? c) the projectile will travel what horizontal distance before striking the ground?arrow_forwarda locusts jumps at an angle 55 above horizontal and lands 0.80m where it jumped.calculate the (a) maximum height of the locusts during its jump.ignore air resistance (b) time of flight of the locus (c) if it jumps with the same initial speed at an angle of 45,would the maximum height be larger or smaller? explain your answer qualitatively.arrow_forward
- A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?arrow_forward(B) Find the maximum height ymax.The distance the particle moves upward while slowing with the acceleration −g is ymax = vy0ty max − 1 2 g(ty max)2. Therefore, substitute in the expression for ty max from part (a), and simplify, to obtain ymax = v02 sin2 θ 2g . Suppose the initial speed is 50 m/s and the launch angle is θ = 53°. In this case, we have ymax = m. D.Find the range.While in flight, the projectile's horizontal velocity component is constant and x attains the maximum value when t = tflight x = vx0t + 0. Call this maximum value the range R R = v0 cos θ tflight. Substituting the expression for tflight found above and rearranging then gives R = 2v02sin θ cos θ g . Suppose the initial speed is 50 m/s and the launch angle is θ = 53°. Find R. R = m (E) Find the angle that gives the maximum range.To find the maximum range, we will use the trigonometric identity: 2 sin θ cos θ = sin(2θ). Substituting this into the above expression for R gives R…arrow_forwardA ball is shot at a ground level at an angle of 60 degrees with the horizontal with an initial velocity of 10 m/s. What is the maximum height attained by the ball ?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning