Speed, Distance, & Time Calculations
A swimmer completes a 50-meter freestyle race in 23.6 seconds. What is their average speed in meters per second
2.12 m/s
The velocity of a jogger that ran 321 meters in 70 seconds.
4.6 m/s
A swimmer starts at 0 m/s, takes 3 seconds, and reaches a speed of 1.5 m/s east. What is their acceleration?
0.5 m/s²
A basketball player takes 8.4 seconds to run down the court. What is this measuring?
Time
y=2x+3
x+y=7
Solve the system using substitution
(2,7)
A basketball player runs at 4.5 meters per second for 6.8 seconds. There are 5 seconds left on the shot clock. How far did they run?
30.6 meters (Ignore the shot clock!)
The distance an object travels if the velocity is 26 m/s and the time is 23 seconds.
598 meters
A swimmer dives off the starting block and accelerates from 0 to 2.8 m/s in 1.4 seconds. What is their acceleration?
2.0 m/s²
A motorcyclist is traveling at 75 miles per hour. This measurement tells us how fast they are going, but not the direction. What is this called?
speed
y=−3x+5
2x+y=−12
Solve using substitution
(17, -46)
A motorcyclist rides 253.8 miles at an average speed of 57.6 miles per hour. How long does the ride take?
4.4 hours
The time it takes an object to travel 198 meters at a velocity of 34 m/s.
5.8 seconds
The acceleration of an object with an initial velocity of 100 m/s and a final velocity of 20 m/s in 60 seconds.
-1.3 m/s2
A swimmer is moving at 1.5 meters per second east in a race. This measurement includes direction. What is this called?
velocity
2x+y=5
y=−x+1
Solve by graphing
(4, -3)
A player dribbles down the court at a speed of 4.5 meters per second and reaches the other side in 6.8 seconds. How far did they travel?
30.6 meters
The velocity of an object that travels 23 meters in 18 seconds to the north.
1.28 m/s north
After making a flip turn, a swimmer is moving at 1.2 m/s, takes 2.0 seconds, and reaches 3.6 m/s. What is their acceleration?
1.2 m/s²
A sprinter increases speed from 4 m/s to 8 m/s in 2 seconds. Their acceleration is 2 meters per second squared. What does the unit m/s² measure
acceleration
y=3x+4
6x−2y=10
Solve the system using substitution
No solution
A motorcycle travels 124.5 miles at a speed of 62.3 miles per hour. The gas tank holds 5 gallons of fuel. How long does the ride take?
2 hours? (Ignore the gas tank!)
What is the distance an object travels if going at a velocity of 8 m/s in 28 seconds?
224 meters
A swimmer is gliding in the water at 2.5 m/s but slows down to 0.5 m/s over 4 seconds due to water resistance. What is their acceleration?
-0.5 m/s²
Identify the type of measurement for each:
distance, time, speed, and acceleration
Solve the system by graphing:
2x−y=4
4x−2y=8
Infinite Solutions