Rearranging Speed Equation and Examples
Learn how to mathematically rearrange the speed equation and calculate speed using the formula. Understand the concept of speed as the rate at which an object moves, and solve for distance and time in speed-related equations. Explore calculation examples to apply the speed formula in real-world scenarios.
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Presentation Transcript
Rearranging Speed Equation and teach examples
Learning Objectives I can mathematically rearrange the speed equation. I can calculate speed using the formula.
Calculating Speed Speed = distance divided by time S = ? Meters/ second meters ? seconds Speed is the rate at which an object moves.
Formula Representation Formula Represents S = d = Distance meters (m) T = Time Units Speed meters/second (m/s) S = ? ? Second (s)
Solve for Distance (d) Solve for Distance (d) Step 1 Multiply both sides by t - time S = ? (t) (t) ? d = S(t)
Solve for Time (t) Solve for Time (t) Step 1 Multiply both sides by t time S = ? (t) (t) ? d = St Step 2 Divide by S - speed on both sides. __ S __ S t = ? ?
Speed Related Equations Speed S = ? Distance d = St Time t = ? ? ?
Calculation Example #1 1. What is the speed of a walker if he traveled 10m in 5s? Given/ Unknown S = d = t= Work ? 10m 5s 10m 5s S =d S = 2 m/s S = t
Calculation Example #2 2. It took 3.5 hrs for a train to travel the distance between two cities at a speed of 120 miles/hr. How many miles lie between the two cities? Given/ Unknown S = d = t= Work 120mi/hr ? d = 420 miles d = (120mi/hr)(3.5hrs) d = St 3.5hrs
Calculation Example #3 3. A car is traveling at a rate of 75km/hr. How long will it take the driver to travel 225km? Given/ Unknown S= D = t = Work 75km/hr 225km ? 225km 75km/hr t =d t = 3 hrs t = S
Calculation Example #4 4. John took 45 min to bicycle to his grandmother s house, a total of 4 km. What was his speed in km/hr? Given/ Unknown ? Work S = d= t = 1st convert the time into hours by dividing 45min by 60min. 60min=1hr 4km 45min or .75hr S =d 4km .75 ? S = S = 5.3 km/hr t
