Please look at the picture for a step by step explanation - Answer choice is A
Answer:
Step-by-step explanation:
Key features
when t = 0
the initial height is 143/3 = 47⅔ ft
initial velocity is -310/3 = -103⅓ ft/s (downward)
initial acceleration is 2(64) = 128 ft/s² (upward)
I would not like to ride this roller coaster!
that's about four times the acceleration of gravity, and it only increases as the car gets to the bottom of the curve at t = 1 s
For part 3
I'm not sure what they mean by "not realistic"
while the initial acceleration is high. the acceleration at t = 1 is zero except that in 'reality' the car would have to be going through a curve to change direction from down to up. That would create very high centripetal acceleration and therefore centripetal forces.
In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,

And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is

We need to do

Substituting the values of the two functions, we will get

Adding 2 to both sides

Cross multiplication


So the input value is 3.3 approx
5 sevens go into 37 withought going over