The graph shows the speed, S (kilometres per hour) of a car as it travels along a straight road at time t hours. speed (km/h) 90 60 30 0.10 0.20 0.30 0.40 0.50 0.60- time (h)«“ a What is the maximum speed of the car?e by During which intervals was the rate of change of the speed of the car zero? Use the graph to estimate the average rate at which the car's speed is increasing between times t = 0.05 hour and t = 0.20 hour.“
The graph shows the speed, S (kilometres per hour) of a car as it travels along a straight road at time t hours. speed (km/h) 90 60 30 0.10 0.20 0.30 0.40 0.50 0.60- time (h)«“ a What is the maximum speed of the car?e by During which intervals was the rate of change of the speed of the car zero? Use the graph to estimate the average rate at which the car's speed is increasing between times t = 0.05 hour and t = 0.20 hour.“
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The graph shows the speed, S (kilometres per hour) of a car as it travels along a straight road
at time t hours.
speed (km/h)
90
60
30
0.10e
0.20
0.30
0.40e
0.50
0.60e
time (h)e
What is the maximum speed of the car?e
a
b
During which intervals was the rate of change of the speed of the car zero?e
Use the graph to estimate the average rate at which the car's speed is increasing
between times 1 = 0.05 hour and t= 0.20 hour.“
d.
Find an estimate for the rate at which the car's speed is increasing when 1 = 0.1 hour.“
e
When was the speed increasing most rapidly? How can you tell?e
Sketch the graph of the rate of change of speed against time for t = 0 to t = 0.50 hour.
(General shape and key t values required only on graph; there is no need for a vertical
scale.) e
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