A batter hits the baseball 3 feet above the plate at an angle of 35° with an initial velocity of 118.25 ft/sec. The center field wall is 400 feet away and ten feet tall. The baseball clears the wall by how many inches?
Let's first find out how long it takes to travel 400 ft....this is given by
400 = (118.25)cos(35)t
t = about 4.13 sec
Let y = 0 be the original height....then we would be looking for how many inches it would clear a 7 ft wall
So we have
y = -16(4.13)^2 + 118.25sin(35)(4.13) = 7.2 ft....and this is the heightt in ft at 4.13 sec
So...it clears the all by about .2 ft = 2.4 inches
Let's first find out how long it takes to travel 400 ft....this is given by
400 = (118.25)cos(35)t
t = about 4.13 sec
Let y = 0 be the original height....then we would be looking for how many inches it would clear a 7 ft wall
So we have
y = -16(4.13)^2 + 118.25sin(35)(4.13) = 7.2 ft....and this is the heightt in ft at 4.13 sec
So...it clears the all by about .2 ft = 2.4 inches