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Chapter 1: Q.6 (page 28)

Determine the signs (positive, negative, or zero) of the position, velocity, and acceleration for the particle in Figure Q1.6.

Short Answer

Expert verified

Position defines where the particle is located, velocity defines which direction the particle is moving, and acceleration defines whether the particle is speeding up or slowing down.

Step by step solution

01

Given  information:

There are three dots with gradual decrease in the vector distance.

02

Finding the Position:

  • Velocity is defined as the rate of change of displacement of the particle with respect to time.
  • Acceleration is defined as the rate of change of velocity of the particle with respect to time.
  • In the given figure, the position of the particle is towards the left of the zero on the x-axis.
  • Therefore, the sign of position is negative.
03

Finding velocity and acceleration of the particle:

  • The particle is moving towards the right. Therefore, the sign of velocity is positive.
  • The direction of acceleration is the same as the direction of velocity. Therefore, the acceleration is positive.

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Most popular questions from this chapter

FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.3 to find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and acceleration vectors

For Problem 36, draw a complete pictorial representation. Do not solve these problems or do any mathematics.

Sam is recklessly driving 60 mph in a 30 mph speed zone when he suddenly sees the police. He steps on the brakes and slows to 30 mph in three seconds, looking nonchalant as he passes the officer. How far does he travel while braking?

FIGURE EX1.18 shows the motion diagram of a drag racer. The camera took one frame every 2 s.

a. Measure the x-value of the racer at each dot. List your data in a table similar to Table 1.1, showing each position and the time at which it occurred.

b. Make a position-versus-time graph for the drag racer. Because you have data only at certain instants, your graph should consist of dots that are not connected.

Problem 52 show a partial motion diagram. For each:

a. Complete the motion diagram by adding acceleration vectors.

b. Write a physics problem for which this is the correct motion

diagram. Be imaginative! Don鈥檛 forget to include enough

information to make the problem complete and to state clearly

what is to be found.

c. Draw a pictorial representation for your problem.

You drop a soccer ball from your third-story balcony. Use the particle model to draw a motion diagram showing the ball鈥檚 position and average velocity vectors from the time you release the ball until the instant it touches the ground.
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