Q4. A rolling ball moves from x1=8.4... [FREE SOLUTION]

Chapter 2: Q4. (page 43)

A rolling ball moves from $x_{1} = 8.4 cm$ to $x_{2} = - 4.2 cm$ during the time from $t_{1} = 3.0 s$ to $t_{2} = 6.1 s$ . What is its average velocity over this time interval?

Short Answer

Expert verified

The average velocity over the time interval is $- 4.1 \frac{cm}{s}$ .

Step by step solution

Step 1. Relation between average velocity, positions, and time

The term 鈥榓verage velocity鈥� can be defined as the division of the change in the displacement of a body from one point to another by the time taken in the displacement. It can also be defined as the average displacement divided by the average time taken by an object or a body.

Given data.

The initial position is $x_{1} = 8.4 cm$ .

The final position is $x_{2} = - 4.2 cm$ .

The initial time is $t_{1} = 3.0 s$ .

The final time is $t_{2} = 6.1 s$ .

We know that $Average velocity = \frac{final position - initial position}{time elapsed}$ .

Step 2. Calculation of average velocity using given values

Substituting the values in the above equation,

$\begin{matrix} Average velocity = \frac{final position - initial position}{time elapsed} \\ v = \frac{x_{2} - x_{1}}{t_{2} - t_{1}} \\ = \frac{- 4.2 cm - 8.4 cm}{6.1 s - 3.0 s} \\ = - 4.1 \frac{cm}{s} \end{matrix}$

Therefore, the average velocity over the time interval is $- 4.1 \frac{cm}{s}$ .

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91影视

A rolling ball moves from $x_{1} = 8.4 cm$ to $x_{2} = - 4.2 cm$ during the time from $t_{1} = 3.0 s$ to $t_{2} = 6.1 s$ . What is its average velocity over this time interval?

Short Answer

Step by step solution

Step 1. Relation between average velocity, positions, and time

Step 2. Calculation of average velocity using given values

One App. One Place for Learning.

Most popular questions from this chapter

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91影视

A rolling ball moves from x1=8.4cm tox2=-4.2cm during the time fromt1=3.0s to t2=6.1s. What is its average velocity over this time interval?

Short Answer

Step by step solution

Step 1. Relation between average velocity, positions, and time

Step 2. Calculation of average velocity using given values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Scientific Method Physics

Quantum Physics

Conservation of Energy and Momentum

Fundamentals of Physics

Atoms and Radioactivity

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

A rolling ball moves from $x_{1} = 8.4 cm$ to $x_{2} = - 4.2 cm$ during the time from $t_{1} = 3.0 s$ to $t_{2} = 6.1 s$ . What is its average velocity over this time interval?