Answer:
a) j(t) = -16t^2 +20t +6
b) 1 second
c) less time
Step-by-step explanation:
The general equation for vertical motion is ...
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a) j(t) = -16t^2 +20t +6 . . . . . filling in the given initial values, with g=32 ft/s^2
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b) We want to find the larger of the solutions to ...
j(t) = 10 = -16t^2 +20t +6
Subtracting 6 and dividing by -4, we have ...
-1 = 4t^2 -5t
4t^2 -5t +1 = 0 . . . . add 1, put in standard form
(4t -1)(t -1) = 0 . . . . . factor
t = 1/4 or 1
The ball is in the air 1 second before reaching the hoop.
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c) In generic terms, the equation of motion for a given shooting height at the same upward velocity will be ...
10 = -16t^2 +20t + h0
-16t^2 +20t +(h0 -10) = 0
Using the quadratic formula, we find the larger solution to be ...
t = (-(20) -√(20² -4(-16)(h0 -10)))/(2(-16))
t = (5/8) + √(64h0 -240)/32 = (5 +√(4h0 -15))/8
This value increases as h0 increases, so the ball will be in the air less time when Raymond shoots.
Answer:
They will win 48 games in a 120 game season.
Step-by-step explanation:
The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120. x is the amount of games won in the 120 game season.
Set up the ratios like this:
=
cross multiply the numerators and denominators to get this:
20*120 = 50x
solve for x:
2,400 = 50x
x = 48
So first, you need to identify the parts of this equation.
3x is the slope of the line, which is .
-5 is the y-intercept. or the part of the line that touches the y-axis.
The first thing you want to do is plot the y-intercept. SO, go to the y-axis and find -5. Plot your point there.
Now, use the slope to find your next plot. Since slope is
, you go up three, and over to the right one.
Now, draw a line connecting the dots. Your slope should be positive and look like > /
~theLocoCoco