A projectile is fired with an initial speed of 230 m/s and angle of elevation 60°. (Recall g 9.8 m/s². Round your answers to the nearest whole number.) (a) Find the range of the projectile. m (b) Find the maximum height reached. m

A cannonball is fired with a speed of 55 m/s and at an angle of 40 degrees above the horizontal, determine theposition (h) with respect to the ground of the bullet 6 s after launching it.It only places the numerical value, WITHOUT UNITS.Use at least 4 DECIMALS for the procedure.Place only 2 DECIMALS in the result without rounding.

A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 180 feet under normal weather conditions. If the shells have a launch angle 9 = 61° above the horizontal, determine the common launch speed n for the shells, the separation distance dbetween the launch points A and B. and the time tfrom launch at which the shells explode. Determine the time t; from launch to when the paths cross. 42' 138' Vo e B d- Answer: t = sec

what is the maximum height of a bullet shot from a gun at 150 m/s at a 5.0 degree angle?

A small block with mass 0.0450 kg slides in a vertical circle of radius 0.0710 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.70 N Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?

Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity Vo = 8i - 4j + 23k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft. 105 ft 3- 105 ft r₁ = rj = 165 ft rk = 0 Determine the position function that gives the position of the ball t seconds after it is hit. (Use symbolic notation and fractions where needed.) r(t) = ri(t)i + rj(t)j + rk(t)k 165 ft 12 12

projectile is fired at vo = 407.0 m/s at an angle of = 67.8° with respect to the horizontal. ssuming no air resistance, what is the range R of me projectile? R = m