C.GSR.5.3
Find the exact value of a definite integral using geometric formulas on a coordinate plane.
Example Problems
Jackson received the following problem:
A particle moves in a straight line with velocity meters per second, where is time in seconds. At , the particle's distance from the starting point was 9 meters in the positive direction. What is the particle's position at seconds?
Write an expression that Jackson can use to solve the problem.
A particle moves in a straight line with velocity meters per second, where is time in seconds. At , the particle's distance from the starting point was 9 meters in the positive direction. What is the particle's position at seconds?
Write an expression that Jackson can use to solve the problem.
Raj received the following problem:
A particle moves in a straight line with velocity meters per second, where t is time in seconds. At , the particle's distance from the starting point was 4 meters in the positive direction. What is the particle's displacement between and seconds?
Write an expression that Raj can use to solve the problem.
A particle moves in a straight line with velocity meters per second, where t is time in seconds. At , the particle's distance from the starting point was 4 meters in the positive direction. What is the particle's displacement between and seconds?
Write an expression that Raj can use to solve the problem.
Alexey received the following problem:
A particle moves in a straight line with velocity meters per second, where is time in seconds. At , the particle's distance from the starting point was meters. What is the total distance the particle has traveled between and seconds?
Write an expression that Alexey can use to solve the problem.
A particle moves in a straight line with velocity meters per second, where is time in seconds. At , the particle's distance from the starting point was meters. What is the total distance the particle has traveled between and seconds?
Write an expression that Alexey can use to solve the problem.
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