Physics
posted by Raye
A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was initially launched from an elevation of 4 feet above ground. The distance from home plate to the outfield wall is 408 feet at center field. The height of the outfield wall is approximately 8 feet (It varies slightly across the outfield). You should first draw a twodimensional picture of the baseball’s trajectory (x, y coordinate system) to assist in developing answers to the questions below. Note: Convert all variables to the metric (mks) system before performing your calculations.
b)What is the maximum height reached by the ball?
c)What is the total time of flight?

Damon
No I will not use miles and feet
49.2 meters/sec = 110 mph
u = horizontal speed = 49.2 cos 35 = 40.3 m/s
that is constant
so
x = 40.3 t
vertical problem:
v = Vi  9.81 t
Vi = 49.2 sin 35 deg = 28.2 m/s
so
v = 28.2 9.81 t
at top, v = 0
so t = 2.87 seconds to top
h = top = Hi + Vi t  4.9 t^2
Hi = 4 feet = 1.22 meters
h = 1.22 + 28.2(2.87)4.9(2.87)^2
h = 1.22 + 80.9  40.4
= 41.7 meters at top
when does it reach 8 feet?
2.44 = 1.22 + 28.2 t 4.9 t^2
solve quadratic for t
use range = u*t to see if it cleared the wall
if it did solve for t at h = 0
Respond to this Question
Similar Questions

English
I seen the help you gave other people and was wondering if you could help me idenify 5 adjectives and adverbs in my paragraph. St. Louis is considered to be Cardinals Nation. The St. Louis Cardinals are a professional baseball team … 
physics
A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity? 
physics
A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity? 
physics
Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of è = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall … 
physics
Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of è = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall … 
Physics
Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of θ = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall … 
Algebra
A baseball is hit at a point 2 feet above the ground at a velocity of 100 feet per second and at an angle of 45 degrees with respect to the ground. The path of the baseball is given by the function: f(x)= 0.0032x^2+x+2. where f(x) … 
Physics
A baseball player hits a home run over the leftfield fence, which is 104 m from home plate. The ball is hit at a point 1.08 m directly above home plate, with an initial velocity directed 35.0° above the horizontal. By what distance … 
Physics
A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was … 
Physics
A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was …