ok this is how it goes:
In a football game the quarter back is 15 yards away from making a first down and is running at 264 yards per minute. After 0.03 of a minute, a linebacker who is 15 yards on the opposite side of the first down marker begins running directly towards the quarterback at 440 yards per minute. Will the linebacker be able to tackle the quarterback before he gets the first down?
find the time it takes the quarter back to run 15 yards.
The linebacker starts to run after .03 minutes. That gives the quarter back some times to run a certain distance.
distance = speed * time
distance = 264 (.03)
distance = 7.92 yard
That means the linebacker starts to run when the quarter back is 15 - 7.92 = 7.08 yard away from the marker.
Find the time it takes the quarter back to run 7.08 yard and the the time it takes the linebacker to run 15 yards
7.08 = 264 * t
t =~ .02681 min or about 1.6 sec
15 = 440t
t = .03409 min or about 2.04sec
conclusion: No, the linebacker can not tackle the quarter back in time
Calculate the time for each person to cover the 15 yards. Compare to see who made it there first.
Quarterback time = 15yds / 264yds/min
Linebacker time = 15yds / 440yds/min + o.o3min
Both times are in min. the lower one gets to the first down line first.
I don't know what first downs, linebackers and quarterbacks are but I assume it is part of a game where someone reaches a line and the other person has to stop him.
The quarterback has 15 yards to go and at 264 yards per minute will take 15/264 th's of a minute to get there. This will take, in decimal terms, 0.056 minutes. The other guy has already waited 0.03 minutes before setting off so has 0.056 - 0.03 minutes = 0.026 minutes to get there. I don't know what the opposite side of the first down marker means either but if he has to travel 15 yards to get there it will take him 15/440 minutes to do it. In decimal terms more than 0.03 minutes, so the answer is, no he won't get the tackle in.
I had to read this one a few times too
Let me try to draw a picture
They both are racing 15 yds towards each other
will the LB be able to go 15 yds in t-0.03
let's try to set up a chart to help us see what we know
so since D=r* t
we can find the time it took the quarter back to run 15 yds
substitute into the time for the linebacker now
x is the distance the linebacker ran so did he beat the QB?
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