A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 176 feet under normal weather conditions. If the shells have a launch angle 0 = 60° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.
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- From the top of a castle wall, an archer fires an arrow with an initial speed of 35m/s aimed 30 degrees above the horizontal. The arrow lands in a flat field, 124 m from the base of the castle wall. Calculate the height of the wall.Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a thrown by a right fielder is defined by the (x,y) coordinates as displayed in the Figure below. Find the appropriate initial angle θ0 , if v0 = 30m/s, and the distance to the catcher is 90 m. Note that the throw leaves the right fielder’s hand at an elevation of 1.8 m and the catcher receives it at 1 m. You can use your Matlab code written for Newton-Raphson Method.A baseball is hit from a height of 2.5 feet above ground level with an initial speed of 140 feet per second and at an angle of 22 degrees above horizontal. Present a chart that will shape the situation and determine whether you will pass a 10-foot fence located 375 feet above the launch plate.
- My first answer (a) is wrong Please Help meA projectile is launched with an initial velocity v at an angle of theta with respect to the x axis. Calculate vox, voy, t, ymax, xmax if: v0 theta 1.25E+02 6.00E+01In 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 2.20 s later, at distance d = 23.0 m from the building and at angle = 62.0° 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)? 0
- A projectile is fired with a speed of 15m/s at an angle of elevation of 30 degrees above the horizontal. a) At what height will it strike a vertical wall distant 18m horizontally from the gun? b) Find the magnitude and direction of its velocity when it strikes the wall.a projectile is launched at an angle theta with respect to the horizontal and air resistance is neglected. A) at what angle should you launch it so that it will achieve the maximum time in the air? B) what would be its range in that case?A student throws a water balloon with speed v0 from a height h = 1.74 m at an angle θ = 27° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 5.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. What is the position vector, Rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j.
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