This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
Answer:
Step-by-step explanation:
I need help with it too
3 is less than the sum of any positive number added with 4
14 + 63 = 2*7 + 9*7 = 7*(2+9)
Answer:
As an improper fraction: 8463/32
As a mixed number 264 15/32
Step-by-step explanation:
1. Multiply the base number times the denominator, then add the numerator to that number, and put it over the original denominator.
2. Do this for all of the numbers
3. multiply straight across, top*top*top, then bottom*bottom*bottom numbers. That number will be your improper fraction. Then divide that top number by the bottom denominator, take it out, leave the remainder as the numerator, and you have your mixed number.
