McCRAJ: Rates and algebra

McCRAJ: Rates and algebra

Solving constant velocity problems with algebra

Did you know? You can use other letters for algebra!

• v for velocity (another word for speed)

• d for distance

• t for time

How are v, d, and, t related?

v = d / t

Multiple Choice

How can you find d given v and t? Remember that

 $v=\frac{d}{t}$  

•  $d=vt$  

•  $d=\frac{v}{t}$  

•  $d=\frac{t}{v}$  

Multiple Choice

How can you find t given d and v? Remember that

 $v=\frac{d}{t}$  

•  $t=dv$  
  

•  $t=\frac{d}{v}$  
  

•  $t=\frac{v}{d}$  

Multiple Choice

If I walk 100 meters in 80 seconds, what is my average velocity?

• 100 m/s

• 80 m/s

• 1.25 m/s

• 0.8 m/s

Multiple Choice

If I walk 500 miles in 4 days, what is my average velocity?

• 500 miles/day

• 4 miles/day

• 0.008 miles/day

• 125 miles/day

Multiple Choice

I run 5km in half an hour. What is my average velocity?

• 5 km/hr

• 0.5 km/hr

• 10 km/hr

• 50 km/hr

• 2.5 km/hr

Multiple Choice

I drive at an average velocity of 50 km/hr. How long will it take me to get to Jericho Beach 20 km away?

• 0.4 hours

• 2.5 hours

• 100 hours

• 25 hours

Multiple Choice

I ride my bike at an average velocity of 20 km/hr. How long will it take to bike to Steveston 7.5 km away?

• 2.67 hours

• 150 hours

• 0.875 hours

• 0.375 hours

Multiple Choice

Gordon swam at 15 m/s for 60 seconds. How far did he swim?

• 4 meters

• 900 meters

• 0.25 meters

• 15 meters