contestada

A baseball, hit 7 feet above the ground, leaves the bat at an angle of 75 and its caught by an outfielder 7 feet above the ground and 300 feet from home plate. How high does the ball rise? Round your answer to the nearest integer.

Respuesta :

Answer:139 ft/s

Explanation:

Given

ball leaves the bat at angle of [tex]75^{\circ} [/tex]

as the height with ball is launched and height of fielder is same so its vertical displacement is zero and ball is considered to complete a projectile motion with range =300 ft

Also range of projectile is given by

[tex]R=\frac{u^2sin2\theta }{g}[/tex]

where u= launch velocity

[tex]300=\frac{u^2sin150}{32.2}[/tex]

[tex]9660=u^2\times 0.5[/tex]

[tex]u^2=19,320[/tex]

[tex]u=\sqrt{19320}=138.99\approx 139 ft/s[/tex]