Speed What is time? A particular moment – 10:25 and 15 secs An interval of time – 7pm to 7am Time Measured in hours, minutes, days, years and seconds Metric only in science Always a number and a unit -25 secs 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 Speed Measure of how quickly an object moves from one place to another An object that is not moving has a speed of zero - 0 m/s Distance traveled divided by the time taken – 90 miles in 1.5 hours = 90mi /1.5 h = 60 mph Velocity Speed of the object and the direction of its motion Speed Speed = v – v is for velocity (speed with direction added, traveled 75 mph south) Distance = d Time = t 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? 1. v = d/t 2. v = ? d = 600 miles t = 4 hrs 3. v = 600 mi/4 hrs 4. v = 150 mi/hr 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? 1. v = d/t 2. v = ? d = 380 miles t = 0.5 hrs 3. v = 380 mi/ 0.5 hr 4. v = 760 mi/h (mph) 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? 1. v = d/t 2. v = ? d = 800 miles t = 2.5 hrs 3. v = 800 mi/ 2.5 hr 4. v = 320 mi/h (mph) 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? 1. v = d/t 2. v =? d =239 miles t = 0.75 hrs 3. v = 239 mi/ 0.75 hr 4. v = 318.67 mi/h (mph) 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? 1. t = d/v 2. t = ? d = 1800 miles v = 45 mph 3. t = 1800 mi /45 mi/hr 4. v = 40 hrs A cheetah runs at 60 mph for a distance of 0.5 miles. How long does this take? Change answer to seconds. 1. 2. t = d/v t=? d = 0.5 miles v = 60 mph 3. 4. t = 0.5 mi/ 60mph t = 0.008 hr 0.008 hr x 60 min X 60 sec = 28.8 secs 1hr 1 min 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? 1. d = vt 2. d = ? v = 50,000 km/h t = 4 hrs 3. d = 50,000 km/h X 4 hrs 4. d = 200,000 km 1. 2. 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. 4. d = 6.9 mph X 54 min d = 372.6 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 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 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 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 Instantaneous Speed Speed at a certain moment in time