Solution to problem 7.5.5 from the collection of Kepe O.E.

Solution to problem 7.5.5 from the collection of Kepe O..

This product is an electronic file with the solution to problem 7.5.5 from the collection of Kepe O..

Problem 7.5.5 is a problem from the section “Motion of a material point” and is formulated as follows:

"The point moves along a curve with a speed s = 0.5t. Determine its coordinate at the moment of time t = 10 s, if at t0 = 0 the coordinate of the point is sо = 0."

In the file you will find a detailed solution to this problem with a step-by-step explanation and intermediate calculations. The solution is presented in the form of an HTML document with a beautiful and clear design.

This product is suitable for anyone studying a physics course or preparing to take exams, as well as for teachers and students of physics specialties.

Purchase this product and receive a complete and understandable solution to problem 7.5.5 from the collection of Kepe O.. in a convenient electronic format.

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Solution to problem 7.5.5 from the collection O.?. Kepe consists in determining the coordinates of a point at time t=10 s, which moves along a curve with a speed of s=0.5t. From the conditions of the problem it is known that at the initial time t0=0 the coordinate of the point is so=0. To solve the problem, it is necessary to find the path traveled by the point in time t=10 s, using the formula s=vt, where s is the path, v is the speed, t is time.

Since in this problem the speed of a point depends on time, to find the path it is necessary to integrate the speed over time from t0=0 to t=10 s.

Integrating the speed s=0.5t over time from t0=0 to t=10 s, we obtain:

s = ∫(from 0 to 10) 0.5t dt = [0.25t^2] (from 0 to 10) = 0.25 * 10^2 - 0.25 * 0^2 = 25

Thus, the coordinate of the point at time t=10 s is 25.

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