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(II) The best rebounders in basketball have a vertical leap(that is, the vertical movement of a fixed point on theirbody) of about 120 $\mathrm{cm} .(a)$ What is their initial launchspeed off the ground? (b) How long are they in the air?

a) $v_{0}=4.8 m/s$b)$0.99 \mathrm{s}$

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

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so we know that a basketball player can reach a height. Why? Of Ah, 120 centimeters. And we want that in meters will say 1.2 meters. And for starting at zero than our delta y. It's just gonna be 1.2 meters, okay. And the first we want to know their launch velocity off the ground. So for that, we can say that B squared equals C zero squared, plus to a doctor y extra moving vertically. And this VI VI final, um, is gonna be zero. Because we're only worried about, uh once they reach the top of their jump, they won't be moving. And we also know a here is minus g. Of course, could burn freefall. So we know that zero squared. It's gonna be V zero squared minus two g. Ah, Doctor, Why what is really just why? 120 centimeters and we're selling for V zero. So we'll really have negatives here, but they're gonna go away. V zero squared equals two times 9.8 times 1.2 and so our initial velocity squared is 23.52 around, and that means RV zero is going to be about 4.8 meters per second. That's our launch velocity off the ground. And for the next part, we want to know How long are they in the air? So for this we need something that involves t So we'll say Delta y equals zero t plus 1/2 A T squared. And this time, since we're looking about, we're looking for, uh, the entire time they're in the air there. Delta Y is going to be zero because they're going up and coming all the way back down, not just going up. And this is gonna be be zero t Well, substitute in G for a so minus 1/2 treaty squared. And we can bring this to the other side minus V zero t minus right. The minuses would go away and we're left with be zero equals 1/2 g. T. I'm looking for tea Will sell for that is going to be to be zero over g. Okay, so T equals two times about 4.8 over 9.8 S. O t is around 0.95 seconds

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