Chapter 1: Q. 8 (page 29)

FIGURE EX2.8 shows the velocity graph for a particle having
initial position $x_{o} = 0 m$ at $t_{o} = 0 s$ . At what time or times is the particle found at $x = 35 m$ ?

Short Answer

Expert verified

The particle will be found at $x = 35 m$ in two times $6 s$ and $10 s .$

Step by step solution

Given information

A speed-time curve is given in this question. So the area under the curve determines the position of the particle within a certain interval of time.

Determination of time

The particle starts moving from $(x_{i} = 0, t = 0)$ .

Now, each of the square grid in the graph has a length of ,

$l = (5 m / s) (2 s) = 10 m$ .

To cover $x = 35 m$ , the particle has to move up to $3.5$ squares under the curve, as role="math" localid="1648750976474" $(3.5 \times 10 m = 35 m)$ .

So considering time coordinate, $3.5$ number of squares are completed at $t = 6 s .$

If we consider the half portion of the square that cancels out between $6 s$ and $8 s$ , then to cover the same distance, the particle needs to move up to $t = 10 s .$

Hence the particle will be found at $x = 35 m$ at times $6 s$ and $10 s .$

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FIGURE EX2.8 shows the velocity graph for a particle having
initial position $x_{o} = 0 m$ at $t_{o} = 0 s$ . At what time or times is the particle found at $x = 35 m$ ?

Short Answer

Step by step solution

Given information

Determination of time

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FIGURE EX2.8 shows the velocity graph for a particle havinginitial position xo=0mat to=0s. At what time or times is the particle found atx=35m?

Short Answer

Step by step solution

Given information

Determination of time

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

Electric Charge Field and Potential

Astrophysics

Atoms and Radioactivity

Mechanics and Materials

Radiation

Study anywhere. Anytime. Across all devices.

FIGURE EX2.8 shows the velocity graph for a particle having
initial position $x_{o} = 0 m$ at $t_{o} = 0 s$ . At what time or times is the particle found at $x = 35 m$ ?