Question

speed and velocity practice
velocity = distance / time
show work and include units for credit !!!

1. if a train goes 100 miles in 2 hours what is the speed or velocity?
2. find the velocity of a plane that travels 6.2 meters in 3 seconds
3. find the velocity or speed of a car when it goes 20.5 miles in 3 hours
4. find the speed of a turtle that goes 1.2 meters in 1 hour!

extension distance = velocity * time

1. if a car is going 20 miles / hour for 3 hours how far does it go?
2. if plane is flying at 3 meters / second for 2.5 seconds how far does it travel?

extension time = distance / velocity

1. if a plane flies 400 miles is flying at 200 miles per hour how long does it take?

Explanation:

Step1: Recall velocity formula

$v=\frac{d}{t}$, where $v$ is velocity, $d$ is distance and $t$ is time. And $d = v\times t$, $t=\frac{d}{v}$

Step2: Solve for train velocity

Given $d = 100$ miles, $t = 2$ hours. $v=\frac{100}{2}=50$ miles per hour

Step3: Solve for plane velocity

Given $d = 6.2$ meters, $t = 3$ seconds. $v=\frac{6.2}{3}\approx2.07$ meters per second

Step4: Solve for car velocity

Given $d = 20.5$ miles, $t = 3$ hours. $v=\frac{20.5}{3}\approx6.83$ miles per hour

Step5: Solve for turtle speed

Given $d = 1.2$ meters, $t = 1$ hour. $v = 1.2$ meters per hour

Step6: Solve for car - distance

Given $v = 20$ miles per hour, $t = 3$ hours. $d=20\times3 = 60$ miles

Step7: Solve for plane - distance

Given $v = 3$ meters per second, $t = 2.5$ seconds. $d=3\times2.5 = 7.5$ meters

Step8: Solve for plane - time

Given $d = 400$ miles, $v = 200$ miles per hour. $t=\frac{400}{200}=2$ hours

Answer:

1. 50 miles per hour
2. Approximately 2.07 meters per second
3. Approximately 6.83 miles per hour
4. 1.2 meters per hour

Extension 1. 60 miles
Extension 2. 7.5 meters
Extension 1 (time - related) 2 hours