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:
Independent is x while dependent is y
Answer:
6 1/2
Step-by-step explanation:
because we know that for 150 students ther are meals for five days right? now their are only a hundred students and 150 meals, we know that 50+50=100 right? so if we have 100 meals for all of the students that will be enough for 5 days but 50 more meals would mean 6 1/2 days cuss only half of the students will have a meal, their would only be 50 meals for 50 students