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 ‘average velocity’ 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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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

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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

Geometrical and Physical Optics

Dynamics

Fluids

Electric Charge Field and Potential

Solid State Physics

Electricity

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?