2. 1D Motion / Kinematics

Vectors, Scalars, & Displacement

2. 1D Motion / Kinematics

# Vectors, Scalars, & Displacement

1

concept

## Introduction to Vectors and Scalars

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concept

## Displacement vs. Distance

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3

Problem

ProblemStarting from a pillar, you run a distance 140m east (the + x-direction), then turn around.

(a) How far west would you have to walk so that your total distance traveled is 300m?

(b)What is the magnitude and direction of your total displacement?

A

(a) 160 m,

(b) 20 m, west

(b) 20 m, west

B

(a) 160 m,

(b) 20 m, east

(b) 20 m, east

C

(a) 580 m,

(b) -300 m, west

(b) -300 m, west

D

(a) 440 m,

(b) -300 m, east

(b) -300 m, east

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PRACTICE PROBLEMS AND ACTIVITIES (32)

- Draw a pictorial representation for the following problem. Do not solve the problem. What acceleration does a ...
- Problems 49, 50, 51, and 52 show a partial motion diagram. For each: c. Draw a pictorial representation for y...
- Problems 44, 45, 46, 47, and 48 show a motion diagram. For each of these problems, write a one or two sentence...
- For Problems 34, 35, 36, 37, 38, 39, 40, 41, 42, and 43, draw a complete pictorial representation. Do not solv...
- Your roommate drops a tennis ball from a third-story balcony. It hits the sidewalk and bounces as high as the ...
- A bowling ball rolls up an incline and then onto a smooth, level surface. Draw a complete motion diagram of th...
- A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagra...
- You drop a soccer ball from your third-story balcony. Use the particle model to draw a motion diagram showing ...
- A jet plane lands on the deck of an aircraft carrier and quickly comes to a halt. Draw a basic motion diagram,...
- You are watching a jet ski race. A racer speeds up from rest to 70 mph in 10 s, then continues at a constant s...
- For Problems 34, 35, 36, 37, 38, 39, 40, 41, 42, and 43, draw a complete pictorial representation. Do not solv...
- FIGURE EX1.10 shows two dots of a motion diagram and vector . Copy this figure, then add dot 4 and the next ve...
- FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.2 to find the average acceleration vecto...
- FIGURE EX1.8 shows the first three points of a motion diagram. Is the object's average speed between points 1 ...
- For Problems 34, 35, 36, 37, 38, 39, 40, 41, 42, and 43, draw a complete pictorial representation. Do not solv...
- Problems 49, 50, 51, and 52 show a partial motion diagram. For each: a. Complete the motion diagram by adding...
- Problems 49, 50, 51, and 52 show a partial motion diagram. For each: a. Complete the motion diagram by adding...
- Problems 49, 50, 51, and 52 show a partial motion diagram. For each: c. Draw a pictorial representation for y...
- A steel ball rolls across a 30-cm-wide felt pad, starting from one edge. The ball's speed has dropped to half ...
- The vertical position of a particle is given by the function y = (t^2 - 4t + 2) m, where t is in s. (b) What i...
- A good model for the acceleration of a car trying to reach top speed in the least amount of time is a𝓍 = a₀ ─...
- A particle moving along the x-axis has its position described by the function x = (2t^3 + 2t + 1) m, where t i...
- A particle's velocity is described by the function vₓ =kt² m/s, where k is a constant and t is in s. The parti...
- The position of a particle is given by the function x = (2t^3 = 6t^2 + 12) m, where t is in s. (a) At what tim...
- A particle's velocity is given by the function 𝓋ₓ = (2.0 m/s) sin (πt), where t is in s. a. What is the firs...
- A particle moving along the x-axis has its veocity described by the function vx = 2t^2 m/s, where t is in s. i...
- The position of a particle is given by the function x = (2t^3 = 6t^2 + 12) m, where t is in s. (b) At what tim...
- When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first...
- CALC. A car's velocity as a function of time is given by v_x(t) = α + βt^2, where α = 3.00 m/s and β = 0.100 m...
- A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right....
- A rubber ball bounces. We'd like to understand how the ball bounces. a. A rubber ball has been dropped and is...