Posted by **Chris** on Tuesday, May 14, 2013 at 1:27am.

A major leaugue baseball player hits a ball 3 feet above the ground with a velocity of 103 feet per secon in the direction of a 10 foot wall that is 300 feet from home plate. If the hit is at an angle of elevation of 34 degrees and there is wind blowing 22 feet per second in the SAME direction horizontally,, determine if the ball clears the fence.

- math -
**Henry **, Wednesday, May 15, 2013 at 5:30pm
V = 103Ft/s[34o] + 22Ft./s[0o].

Xo = 103*cos34 + 22*cos0 = 107.4 Ft/s.

Yo = 103*sin34 + 22*sin(00 = 57.6 Ft/s.

tan A = Y/X = 57.6/107.4 = 0.53628

A = 28.2o.

V = Xo/cosA = 107.4/cos28.2 = 121.6 Ft/s.[28.2o]

Y^2 = Yo^2 + 2g*h

hmax = ho + (Y^2-Yo^2)/2g

hmax = 3 + (0-(57.6)^2)/-64=54.84 Ft

above gnd.

Tr = (Y-Yo)/g = (0-57.6)/-32 = 1.8 s. =

Rise time.

h = Yo*t + 0.5g*t^2 = 54.84-10

0 + 16t^2 = 44.84

t^2 = 2.8

Tf = 1.67 s. = Time to fall to 10 Ft above gnd.

Range = Xo * (Tr+Tf)=107.4*(1.8+1.67) =

373 Ft. Yes, it clears the fence.

## Answer this Question

## Related Questions

- math - A major leaugue baseball player hits a ball 3 feet above the ground with ...
- math - A major leaugue baseball player hits a ball 3 feet above the ground with ...
- Alegra 2 - A baseball is hit at a point of 3 feet above ground at a velocity of ...
- math - a baseball player hits sa pitch when the ball is 2 feet off the ground. ...
- Math - A baseball player hits a pitch when the ball is 2 feet off the ground. ...
- algebra - A baseball player releases a baseball at the height of 7 feet above ...
- Algebra - A baseball is hit at a point 2 feet above the ground at a velocity of...
- Math- - A ball is thrown vertically upward with an initial velocity of 96 feet ...
- Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...
- Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

More Related Questions