This document discusses 1D motion equations and calculations. It introduces the basic quantities in kinematics, including equations for final velocity, change in distance, and change in velocity. It then provides two sample problems demonstrating how to use the 1D motion equations to calculate distance or time given values for velocity, acceleration, and other variables.

1. 1D Motion Equations and
Calcuations
Junar P. Santiago

2. Motion
• Everything moves! Motion is
one of the main topics in
Physics
• In the spirit of taking things
apart for study, then putting
them back together, we will first
consider only motion along a
straight line.
• Simplification: Consider a
moving object as a particle, i.e.
it moves like a particle—a
“point object”
Manila
Cauayan

3. 4 Basic Quantities in Kinematics

4. 1D Motion Equations
1. 𝑉𝑓 = 𝑉𝑖 + 𝑎𝑡
2. ∆𝑑 =
𝑉𝑖+𝑉𝑓
2
𝑡
3. ∆𝑑 =
1
2
𝑎𝑡2 + Vit
4. 𝑉𝑓2 = 𝑉𝑖2 + 2𝑎𝑑

5. Sample Problem
1. A physics teacher accelerates her bass boat from 8.0 m/s to
11 m/s at a rate of 0.50 m/s2. How far does the boat
travel? Consider forward to be positive.

6. Sample Problem
2. Jane Bond runs down the sidewalk, accelerating uniformly
at a rate of 0.20 m/s2 from her initial velocity of 3.0 m/s.
How long will it take Jane to travel a distance of 12 m?

7. Sample Problem
2. Jane Bond runs down the sidewalk, accelerating uniformly
at a rate of 0.20 m/s2 from her initial velocity of 3.0 m/s.
How long will it take Jane to travel a distance of 12 m?