Suppose this dude wants to be able to touch the rim of a basketball goal. The rim is 3.048 m above the ground. The dude can reach up 2.45 m with his feet on the ground.
(a) If the dude can achieve a liftoff speed of 2.80 m/s, what is his maximum upward displacement?
v = 2.8 - 9.8t
v=0 (max height) when t=0.2857
s = 2.8t - 4.9t^2
at t=0.2857, s=0.4
So, since his reach is about 0.6m below the basket, he's not gonna make it.
Extra credit: how fast must he be able to lift off in order to reach the rim?
West virginia
A puppy and a kitten are 180 meters apart when they see each other. The puppy starts chasing the kitty. The puppy can run at a speed of 25 meters per second, and the kitten can run at a speed of 20 meters per second. How soon will the puppy catch up to the kitten?
Let's call the time it takes for the puppy to catch up to the kitten "t".
In that time, the puppy will travel a distance of 25t (since it can run at a speed of 25 meters per second for t seconds), and the kitten will travel a distance of 20t (since it can run at a speed of 20 meters per second for t seconds).
We know that they will meet each other when they are a total of 180 meters apart, so we can set up an equation:
25t + 20t = 180
Combining like terms:
45t = 180
Dividing both sides by 45:
t = 4
So it will take 4 seconds for the puppy to catch up to the kitten.
Are you sure? cuz its not right, idiot.
I apologize if my previous answer was incorrect. Let me try again:
Let's call the time it takes for the puppy to catch up to the kitten "t".
In that time, the puppy will travel a distance of 25t (since it can run at a speed of 25 meters per second for t seconds), and the kitten will travel a distance of 20t (since it can run at a speed of 20 meters per second for t seconds).
We want the distance the puppy travels to be 180 meters less than the distance the kitten travels (since they need to meet each other somewhere in the middle). So we can set up the equation:
25t = 20t + 180
Simplifying:
5t = 180
Solving for t:
t = 36
Therefore, it will take 36 seconds for the puppy to catch up to the kitten.