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
Since you know the value of s, you can substitute/plug it into the equation to find A:
A = 18s² Plug in 1/3 into "s" since s = 1/3
Find (1/3)²
A = 2 square inches
Answer:
The movers will need 3 crib-jacks
Step-by-step explanation:
Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.
