# Finding the average acceleration of a basketball player

In summary, the basketball player has a speed of 4.84 m/s when he leaves the floor and an average acceleration of 16.16 m/s^2.

## Homework Statement

A bascketball player , who has a weight of 890 N , jumps vertically with a height of 1.2 m ,

1- Find his speed when he left the floor.

2- If the time that takes the basketball player to quit the floor is 0.3 s, what is his average acceleration ?

(I don't understand this question at all, is there any function of time that I've to found or anything like this ?)

3-Find out the value of the force that the player applies to the ground .

## Homework Equations

F = m.a ..(1) , Vf²-Vi² = 2 .a.d ..(2) , p =m.g ..(3)

## The Attempt at a Solution

1- For the 1'st question it's quite easy just by using the formula (2) above , we get
$$V_{i} = \sqrt{2.g.d } = 4.84 m/s$$

2- for the second I think that it's :

$$a = \frac{\Delta V}{ \Delta t} = \frac{V_{i}}{0.3} = 16.16 m.s^{-2}$$

3- For this I didn't understand at all , by using the Newton 2'nd law I get : f = m.a ( where f is the magnitude of the applied force on the ground ) , but when the player applies that force he is at rest in the ground , not moving , which means a = 0 , thus f = 0 , isn'it ?

3- For this I didn't understand at all , by using the Newton 2'nd law I get : f = m.a ( where f is the magnitude of the applied force on the ground ) , but when the player applies that force he is at rest in the ground , not moving , which means a = 0 , thus f = 0 , isn'it ?

Think about how someone jumps. They bend their knees then straighten them. So most of the player isn't at rest.

I didn't understand , they bend their knees and straighten them , yes , and after that ? I mean how this could help us to find out f ?

Maybe it would help to think of it as similar to a mass attached to the top of a compressed spring sitting on the ground (except, in the case of the spring, the force and acceleration are not constant). When the spring is instantaneously released from its compressed state, the mass starts accelerating upward, even though the bottom of the spring remains in contact with the ground. Once the spring has released all of its energy, the spring lifts up off of the ground - like the basketball players feet leave the ground. So apparently, you already calculated the acceleration, and you know the mass of the basketball player . . .

I didn't understand , they bend their knees and straighten them , yes , and after that ? I mean how this could help us to find out f ?

Your use of F=ma was correct.

During the 0.3s take-off phase he is accelerating his Centre of Mass by pushing his feet against the floor. The moment his toes lose contact with the floor he can no longer gain acceleration—there's nothing now to be pushed against.

https://www.physicsforums.com/attachments/110502.gif

## 1. How do you calculate the average acceleration of a basketball player?

The average acceleration of a basketball player can be calculated by dividing the change in velocity by the change in time. This can be represented by the equation a = (vf - vi) / t, where a is the average acceleration, vf is the final velocity, vi is the initial velocity, and t is the change in time.

## 2. What is the unit of measurement for average acceleration?

The unit of measurement for average acceleration is meters per second squared (m/s²).

## 3. Can the average acceleration of a basketball player be negative?

Yes, the average acceleration of a basketball player can be negative if they are slowing down or moving in the opposite direction of their initial velocity.

## 4. What factors can affect the average acceleration of a basketball player?

The average acceleration of a basketball player can be affected by factors such as the player's speed, direction of movement, and any external forces acting on them (e.g. gravity, friction).

## 5. How is the average acceleration of a basketball player useful in the sport?

The average acceleration of a basketball player can help coaches and trainers evaluate a player's performance and identify areas for improvement. It can also be used to compare the acceleration of different players and track their progress over time.

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