Answer:
5.61 seconds
Explanation:
The baseball moves as a projectile. Its angle is 45° and its velocity is 95 miles per hour.
Let us convert this to metres per second:
1 mile per hour = 0.45 m/s
95 miles per hour = 95 * 0.45 = 42.75 m/s
We need to find the time of flight of the baseball. Time of flight is given as:
[tex]T = \frac{2u sin\alpha }{g}[/tex]
where u = initial velocity
α = angle
g = acceleration due to gravity (9.8 m/s)
Therefore:
[tex]T = \frac{2 * 42.75 * sin40}{9.8}\\ \\T = 5.61 secs[/tex]
The baseball was in the air for 5.61 seconds.