7.2.2 A graph of the speed of movement of a point v = f(t) is given. Determine the distance traveled at time t = 5 s. (Answer 7.5)
The problem gives a graph of the speed of a point versus time. To find the distance traveled at time t = 5 s, it is necessary to integrate the speed function over the interval from 0 to 5:
The result of this calculation will be the value of the distance traveled at time t = 5 s. The answer to the problem is 7.5.
Solution to problem 7.2.2 from the collection of Kepe O.?.
This digital product is a solution to problem 7.2.2 from the collection of problems in mathematics, authored by O.?. Kepe. The solution is presented in the form of a beautifully designed html page.
The task is to determine the distance traveled by a point at a given point in time based on a graph of its speed versus time. To solve the problem, it is necessary to integrate the velocity function over a given time interval.
The presented solution contains a detailed algorithm for solving the problem, as well as an exact answer to the question asked. In addition, it is designed in accordance with modern design requirements and contains clear graphic illustrations.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used for educational purposes or as reference material. It is available at any convenient time and can be viewed on any device with Internet access.
This product is a solution to problem 7.2.2 from the collection of problems in mathematics by O.?. Kepe. The task is to determine the distance traveled by a point at a given point in time based on a graph of its speed versus time.
To solve this problem, it is necessary to integrate the velocity function over a given time interval. The result of the calculations will be the value of the distance traveled at time t = 5 s.
The presented solution contains a detailed algorithm for solving the problem, as well as an exact answer to the question asked. It is designed as a beautifully designed html page with clear graphic illustrations.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used for educational purposes or as reference material. It is available at any convenient time and can be viewed on any device with Internet access.
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Solution to problem 7.2.2 from the collection of Kepe O.?. consists in determining the traversed path of a point at time t = 5 s, subject to a known graph of the point’s speed v = f(t). To solve this problem, you need to use the formula to calculate the distance traveled: S = ∫ v dt, where S is the distance traveled, v is the speed of the point, and dt is a small time interval.
To solve the problem, it is necessary to calculate the definite integral ∫v(t)dt over the interval from 0 to 5 seconds. The result will be the value of the distance traveled at time t = 5 s.
Based on the answer to problem (7.5), we can assume that in this case the speed of the point was constant and equal to 1.5 m/s, since S = v * t = 1.5 m/s * 5 s = 7 .5 m. However, to be sure of the correctness of the solution, it is necessary to have details of the problem itself and the speed graph.
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