Question
3 Sarah left home at 10:00 and cycled north in a straight line. The diagram shows a displacement-time graph for her journey. a Work out Sarah's velocity between 10:00 and 11:00 On her return journey.Sarah continued past her home for 3 km before returning. b Estimate the time that Sarah passed her home. c Work out Sarah's velocity for each of the last two stages of her journey. d Calculate Sarah's average speed for her entire journey.
Answer
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(209 Votes)
Rose
Veteran · Tutor for 9 years
Answer
Without the actual displacement-time graph or any numerical data, it is impossible to provide specific answers to these questions. However, the steps and formulas provided above outline how to solve these problems given the appropriate information.
Explanation
## Step1: To calculate Sarah's velocity between 10:00 and 11:00, we need to find the slope of the displacement-time graph for this period. The slope of a displacement-time graph gives the velocity. ### The formula for velocity is: ###
## Step2: To estimate the time that Sarah passed her home, we need to look at the displacement-time graph and find the time at which the displacement becomes zero. This is the point at which Sarah returns home.## Step3: To calculate Sarah's velocity for each of the last two stages of her journey, we need to find the slope of the displacement-time graph for each of these stages. ## Step4: To calculate Sarah's average speed for her entire journey, we need to divide the total distance travelled by the total time taken. ### The formula for average speed is: ###