Y(initial) = 9
V(initial) = 168
V(final) = 0
g(accel-grav) = 32 (in feet per second
squared)
Use the following equation:
V(final) = V(initial) + a(t)
Since this object is moving straight up and
down, a = -32
Enter the knowns into the equation
0 = 168 - 32t
32t = 168
t = 168/9.8
t = 5.25
Now that you know the time it takes to
reach it's maximum, use the general
kinematics equation to solve for final
distance:
y(final) = y(initial) + V(initial)(t) + (1/2)a
(t²)
y(final) = 9 + 168(5.25) + (1/2)(-32)
(5.25²)
= 9 + 882 - 441
= 450 feet
Answer:
40 degrees
Step-by-step explanation:
This is a 40 degree angle
Hope this helps!
A proportion is an equation that states that two ratios are equal
Answer:
127.28 feet
Step-by-step explanation:
Given
Shape of basketball diamond = Square
Length of a side = 90 feet
If the length of a side is 90 feet then the length of other sides is 90 feet.
By finding how far the catcher, at home plate, throw to get the runner "out", we are basically finding the distance from 2nd base to home
This means we're calculating the diagonal of the field..
(Since the field is a square, it has a right angle at 1st base)
Let the diagonal be representing by x.
From Pythagoras,
x² = 90² + 90²
x² = 8100 + 8100
x² = 16200
x = √16200
x = 127.2792206135785
x = 127.28 feet ------ Approximated