A baseball is hit when it is2.5 ftabove the ground. It leaves the bat with initial velocity of145 ft/secat a launch angle of16°.At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of−18i(ft/sec) to the ball's initial velocity.A10-ft-highfence lies326ft from home plate in the direction of the flight. The acceleration due to gravity isg=32 ft/sec2.Complete parts (a) through (e). A baseball is hit when it is 2.5 ft above the ground. It leaves the bat with initial velocity of 145 ft/sec at a launch angle of 16°. At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of -18i (ft/sec) to the ball's initial velocity. A 10-ft-high fencelies 326 ft from home plate in the direction of the flight. The acceleration due to gravity is g = 32 ft/sec². Complete parts (a) through (e).a. Find a vector equation for the path of the baseball.r(t) = ((145 cos 16 – 18)t)i + (2.5+ (145 sin 16)t - 16t² )j(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)b. How high does the baseball go, and when does it reach its maximum height?The baseball reaches its maximum height of 27.46 feet after 1.25 seconds.(Round to two decimal places as needed.)c. Find the range and flight time of the baseball, assuming the ball is not caught.The range is 121.38 feet, and the flight time is 2.56 seconds.(Round to two decimal places as needed.)d. When is the baseball 8 ft high? How far (ground distance) is the baseball from home plate at that height?The baseball is 8 ft high after 0.15 seconds and 2.35 seconds.(Round to two decimal places as needed. Use ascending order.)The baseball is feet or feet from home plate when it is 8 ft high.(Round to two decimal places as needed. Use ascending order.)e. Has the batter hit a home run? Explain.A. No because the ball hits the wall.B. No because the ball does not reach the wall.OC. Yes because the ball goes over the wall.

Name: A baseball is hit when it is2.5 ftabove the ground. It leaves the bat
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A baseball is hit when it is2.5 ftabove the ground. It leaves the bat with initial velocity of145 ft/secat a launch angle of16°.At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of−18i(ft/sec)