Objective: Describe and analyze motion in one dimension using equations with the concepts of speed, and average velocity.
Sharpstown High School
10/10
Name
Period
PROBLEMS for speed and velocity.
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
𝑑
⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗
∆𝑥
𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡
𝑠𝑝𝑒𝑒𝑑 =
𝑣=
⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗
𝑣=
𝑎𝑣𝑒𝑟𝑎𝑔𝑒
𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦
=
𝑡𝑖𝑚𝑒
𝑡
∆𝑡
𝑡𝑖𝑚𝑒
1. The train traveled 500 kilometers north to Odessa in 2 hours. What is the train’s speed? What is its
velocity?
Given:
Equation:
Substitution:
Unknown:
Solution:
2. Ann walked 1.5 miles south to her house in 0.5 hours. What is Ann’s speed? What is Ann’s velocity?
Given:
Equation:
Substitution:
Unknown:
Solution:
3. Jeremie ran around the track at the YMCA for 2 hours. When he was done he figured that he had traveled
20 kilometers. What was his speed? What was his velocity?
Given:
Equation:
Substitution:
Unknown:
Solution:
4. The race car was moving for 3.7 hours and during that time moved 500 miles east. What is the speed?
What is the velocity?
Given:
Equation:
Substitution:
Unknown:
Solution:
PROBLEMS for distance.
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
𝑠𝑝𝑒𝑒𝑑 =
𝑡𝑖𝑚𝑒
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝑠𝑝𝑒𝑒𝑑 ∗ 𝑡𝑖𝑚𝑒
𝑑 =𝑣∗t
5. If you travel for three hours at a speed of 30 km/h, how far will you go?
Given:
Equation:
Substitution:
Unknown:
Solution:
6. Mike is driving west on I-80 for 1.5 hours at a speed of 70 miles per hour. What is his distance?
Given:
Equation:
Substitution:
Unknown:

PROBLEMS for time.
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝑠𝑝𝑒𝑒𝑑 ∗ 𝑡𝑖𝑚𝑒
Solution:
𝑡𝑖𝑚𝑒 =
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
𝑠𝑝𝑒𝑒𝑑
7. If you are traveling at 75 km/h how long will it take to travel 32 km?
Given:
Equation:
Substitution:
Unknown:
Solution:
8. How long will it take to travel 78 miles if you are traveling at 65 miles per hour?
Given:
Equation:
Substitution:
Unknown:
Solution:
𝑡=
𝑑
𝑣