Answer:
a + b
Step-by-step explanation:
A. 1/5
All the points are simply divided by 5 to get the answer. If it were -1/5, then the new points would be negative. (Or positive for the points initially negative).
Answer:
39 feet
Step-by-step explanation:
In this problem, the height of the football at time t is modelled by the equation:
where:
s = 3 ft is the initial height of the ball
v = 48 ft/s is the initial vertical velocity of the ball
is the acceleration due to gravity (downward)
Substituting these values, we can rewrite the expression as
Here we want to find the maximum height reached by the ball.
This is equivalent to find the maximum of the function h(t): the maximum of a function can be found requiring that the first derivative of the function is zero, so
Calculating the derivative of h(t), we find:
And imposing it equal to zero, we find the time t at which this occurs:
And substituting back into h(t), we can find the maximum height of the ball:
Answer:
7
Step-by-step explanation: