Question

A baseball player hits a home run over the left-field fence, which is 104 m from home plate. The ball is hit at a point 1.07 m directly above home plate, with an initial velocity directed 28.0° above the horizontal. By what distance does the baseball clear the 3.00 m high fence, if it passes over it 3.15 s after being hit?

Answer 1

Given is:-

Initial height y₀ = 1.07m

Time t=3.15s

horizontal distance x = 104m

Now,

Let the initial velocity be = u m/s

and its components are

uucos(28)m/s, uy- usin(28)m/s

Now,

The final displacement in y direction can be found out by using second equation of motion, thus

by plugging all the values we get

eq-1

Now,

the horizontal distance will be

by plugging all the values we get

which gives us

by plugging this value in eq-1 we get

The difference between baseball and the fence is