A basketball player is running at 4.80 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains
1 answer:
Answer:
a) 3.56m/s
b) 1.73m
Explanation:
We have to treat this as a parabolic motion problem:
we will use the next formulas:
we first have to calculate the initial velocity of the basketball player:
the final velocity is zero when he reaches the maximun height.
To answer the second part we need to obtain the time to reach the maximun height, so:
Now having that time, let's find the distance on the X axis, the X axis behaves as constant velocity movement, so:
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Answer:
We want to describe how to graph a linear equation.
Explanation:
The given equation is:
y = -4x - 1
a) To graph it, we need to find two points that belong to the line, then we graph the points, and then we connect them with a line.
To get the points, we just need to evaluate the function in two different values of x.
for x = 0
y = -4*0 - 1 = -1
So we have the point (0, -1)
for x = 1
y = -4*1 - 1 = -5
So we have the point (1, - 5)
Now we just need to find these two points and connect them with a line, the graph can be seen below.
b) To check if the graph is correct we can see two things:
in y = -4*x - 1
The y-intercept is -1, this means that the graph should intersect the y-axis at y = -1
The slope is -4, this means that for each unit increase on x, we should see that the y-value decreases by 4.
Checking those two things we can see if our graph is correct or not.
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