University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

150

Pages:

5
Author:

anon

Distance-time Graphs 𝐷 = 𝑠 ×𝑡 𝑆= 𝑑 𝑡 𝑇= 𝑑 𝑠 Warm up: 1) You take 2 hours to drive 550 km from London to Kingston. How fast w ere you driving? Given: d=550 km t=2 hours Find: s=? S=d/t =550/2 =275 We were driving at 275 km/h. 2) If you are driving 90 km/h, how long will it take to drive 150 km? Given: S=90 km/h D=150 km Find : t=? T=d/s =150/90 =1.6667 =1.7 It will take approx.. 1.7 hours. A distancetime graph show an object's distance form a fixed point over a pe riod of time. Example 1: Describe what is happening in each of these graphs Example 2: Answer the following questions based on the graph below: a) What variable is represented along the xaxis? Time b) What are the units? Minutes c) How many units are on the xaxis? 20(minutes) d) What variable is represented along the yaxis? Position from home e) What are the units? Metres (m) f) How many units are on the yaxis? 2000 (m) g) What three factors should you consider when trying to match/describe a graph? -Distance -Time -Direction h) What is the total distance travelled in this graph? The total distance travelled in this graph is 1800 m i) When was the object moving the fastest? How do you know The object was moving fastest between 15 and 20 minutes (line segment E). Line segment E is the steepest. j) What is the speed for each of the intervals? A: speed=600/6 =100 Speed is 100 m/min C: speed =400/4 =100 E: speed=800/5 =160 B: speed=0/4 =0 D: speed=0/1 =0 The object is stationary