We read your photo as:
The diagram below is a speed-time graph for an athlete who took 100 seconds to complete a race. The athlete ran 1,75 km in 100 seconds. Calculate the value of V. and acceleration of the athlete from time 60 seconds to time 100 seconds.
ScanSolve AI Answer
Answers
2 partsStep-by-step solution
5 stepsHere's the solution to question 29:
Part a· 3 steps
Calculate the value of .
Convert the total distance from kilometers to meters.
The athlete ran in .
Calculate the total distance covered as the area under the speed-time graph.
The graph is a trapezium. The area of a trapezium is given by .
In this speed-time graph, the "height" of the trapezium is the maximum speed . The parallel sides are the time intervals on the x-axis.
The top parallel side (where speed is constant) is from to , so its length is .
The bottom parallel side (total time) is from to , so its length is .Equate the calculated total distance to the given total distance and solve for .
The value of is .
Part b
Calculate the acceleration of the athlete from time to time .
Identify the coordinates for the given time interval.
Acceleration is the gradient of the speed-time graph.
At , the speed is .
At , the speed is .Calculate the acceleration using the formula for gradient.
The acceleration is .
Try one yourself
A new problem that tests the same skill.
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.