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Speed

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**What is time? A particular moment An interval of time**

10:25 and 15 secs An interval of time 7pm to 7am

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**Time Measured in hours, minutes, days, years and seconds**

Metric only in science Always a number and a unit secs

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**What is distance? How far from one point to another Unit of length**

Metric only in science Always a number and a unit – 25 m

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**Speed Measure of how quickly an object moves from one place to another**

An object that is not moving has a speed of zero m/s Distance traveled divided by the time taken 90 miles in 1.5 hours = 90mi /1.5 h = 60 mph

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Velocity Speed of the object and the direction of its motion

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Speed Speed = v v is for velocity (speed with direction added, traveled 75 mph south) Distance = d Time = t

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Problems A nascar driver has a car that is one of the fastest on the circuit. If it travels 600 miles in 4 hours, what is his cruising speed? v = d/t v = ? d = 600 miles t = 4 hrs 3. v = 600 mi/4 hrs 4. v = 150 mi/hr

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The fastest car on Earth, a German-made Thrust SSC, would win every Nascar race in America. If it takes 0.5 hours (30 minutes) to travel 380 miles, what is its speed? v = d/t v = ? d = 380 miles t = 0.5 hrs 3. v = 380 mi/ 0.5 hr 4. v = 760 mi/h (mph)

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The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its speed? v = d/t v = ? d = 800 miles t = 2.5 hrs 3. v = 800 mi/ 2.5 hr 4. v = 320 mi/h (mph)

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**Spirit of Australia, a hydroplane boat, made speed records by traveling 239 miles in 0.75**

hours (45 minutes). What is its record-breaking speed? v = d/t v =? d =239 miles t = 0.75 hrs 3. v = 239 mi/ 0.75 hr 4. v = mi/h (mph)

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How much time does it take for a bird flying at a speed of 45 miles per hour to travel a distance of 1,800 miles? t = d/v t = ? d = 1800 miles v = 45 mph 3. t = 1800 mi /45 mi/hr 4. v = 40 hrs

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**A cheetah runs at 60 mph for a distance of 0. 5 miles**

A cheetah runs at 60 mph for a distance of 0.5 miles. How long does this take? Change answer to seconds. t = d/v t = ? d = 0.5 miles v = 60 mph 3. t = 0.5 mi/ 60mph 4. t = hr 0.008 hr x 60 min X 60 sec = secs 1hr 1 min

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A comet is cruising through the solar system at a speed of 50,000 kilometers per hour for 4 hours time. What is the total distance traveled by the comet during this time? d = vt d = ? v = 50,000 km/h t = 4 hrs 3. d = 50,000 km/h X 4 hrs 4. d = 200,000 km

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**d = 372.6 mph/min (Does this make sense) Must change minutes to hours**

A runner runs 6.9 mph for 54 minutes. What distance did the runner travel? d = vt d = ? v = 6.9 mph t = 54 minutes 3. d = 6.9 mph X 54 min d = mph/min (Does this make sense) Must change minutes to hours 54 min X 1 hour = 0.9 hr 60 min d = 6.9 mph X 0.9 hr = 6.2 miles

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Time vs distance Graph Shows distance traveled in relation to time traveled Line sloping upward – steady speed Change in upward slope = changing speed Steeper = faster Flat line – no motion Downward slope – returning to start

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Time vs distance Graph Slope of a distance/ time graph or a position/time graph will tell us the speed Slope = rise/run Slope = 60 miles/2 hrs Speed = 30 miles/hr

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**Average Speed Average of all speeds over time traveled**

Speed may not be constant Distance to San Antonio, Texas 1000 miles Time traveled 15 hours Average speed equals 66.66 mph

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Instantaneous Speed Speed at a certain moment in time

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