Question

14. At Boston's Fenway Park, it is 310 feet (94.5 m) from home plate to the left field wall The Green Monster which is 30 feet (9.2 m) high. If a batter hits a baseball at an initial height of 0.9 m and with an initial velocity of 26 m/s at an angle of 49° above the horizontal, does it clear the wall (go over), hit the wall, or fall short (never reach the wall)? Explain and support your answer using information covered on this test. You must reference both your x and y calculations in your explanation to receive credit!

Answer 1

as the initail height h=0.9 m of bater

so, for u=26m/s

ball traverse a projectile path in filed

so for x=94,5 m

time taken by ball

$x=ucos\theta t$

so,

$t=\frac{x}{ucos\theta}$

so we get

now in this horizontal distance travelled

h = usinot 5912

so we get

$h= 26\times sin49 (5.54)-\frac{1}{2}(9.8)(5.54)^2$

we see that

h= -41.68 m

means it never reaches the wall with this speed