Q44. The best rebounders in basketbal... [FREE SOLUTION]

Chapter 2: Q44. (page 45)

The best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) What is their initial 鈥渓aunch鈥� speed off the ground? (b) How long are they in the air?

Short Answer

Expert verified

The initial launch speed and time for which the basketball is in the air are $u = 4.85 m / s$ and $t_{n} = 0.988 s$ , respectively.

Step by step solution

Step 1. Calculation of initial launch speed

Kinematic analysis can be applied to various machine components for obtaining the velocity as well as acceleration.

Given data.

The vertical leap is about $h = 120 cm$ .

The relation to calculate the initial launch speed is given by.

$u = \sqrt{2 g h}$

On plugging the values in the above relation, you get.

$\begin{matrix} u = \sqrt{2 (9.81 m / s^{2}) (120 cm 脳 \frac{1 m}{100 cm})} \\ u = 4.85 m / s \end{matrix}$

Thus, $u = 4.85 m / s$ is the initial launch speed.

Step 2. Calculation of time

The relation to calculate the time is given by.

$\begin{matrix} v = u - g t \\ t = \frac{v - u}{- g} \end{matrix}$

Here, v is the final speed of the basketball whose value is zero at the maximum height.

On plugging the values in the above relation, you get.

$\begin{matrix} t = [\frac{0 - 4.85 m / s}{- 9.81 m / s^{2}}] \\ t = 0.494 s \end{matrix}$

The net time they are in the air is calculated as.

$\begin{matrix} t_{n} = 2 t \\ t_{n} = 2 (0.494 s) \\ t_{n} = 0.988 s \end{matrix}$

Thus, $t_{n} = 0.988 s$ is the required time.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

The best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) What is their initial 鈥渓aunch鈥� speed off the ground? (b) How long are they in the air?

Short Answer

Step by step solution

Step 1. Calculation of initial launch speed

Step 2. Calculation of time

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Linear Momentum

Energy Physics

Astrophysics

Further Mechanics and Thermal Physics

Quantum Physics

Study anywhere. Anytime. Across all devices.