Solution to problem 7.4.15 from the collection of Kepe O.E.

7.4.15. It is necessary to solve a problem in physics:

The equation for the trajectory of the point is given: x = 0.1 y2. The law of motion of a point in the direction of the Oy axis is given by the equation: y = t2.

It is necessary to determine the acceleration component ax at time t = 2 s.

Answer: 4.8.

Solution to problem 7.4.15 from the collection of Kepe O..

We present to your attention the solution to one of the problems from Kepe O.’s collection on physics. The solution is presented in the form of a digital product, available for purchase in our digital goods store.

The problem is to determine the acceleration component ax at time t = 2 s for a point moving along a trajectory specified by the equation x = 0.1 y2 and the law of motion along the Oy axis, expressed by the equation y = t2.

By purchasing our digital problem solution, you will receive a well-written and detailed explanation of each step of the solution. We also provide the opportunity to ask questions and receive additional advice on solving the problem.

Don't miss the opportunity to purchase this valuable solution to a physics problem and successfully solve the problem with our help!

We present to your attention a digital solution to problem 7.4.15 from the collection of Kepe O.?. in physics.

The problem is to determine the acceleration component ax at time t = 2 s for a point moving along a trajectory specified by the equation x = 0.1 y2 and the law of motion along the Oy axis, expressed by the equation y = t2.

To solve the problem, it is necessary to find the derivatives of the equations with respect to time. We get:

dx/dt = 0 dy/dt = 2t

Let's find the second derivative with respect to time for the x coordinate:

d2x/dt2 = 0

Similarly, we find the second derivative with respect to time for the y coordinate:

d2y/dt2 = 2

Thus, the acceleration component ax at time t = 2 s is equal to 2 m/s².

By purchasing our digital problem solution, you will receive a well-written and detailed explanation of each step of the solution. We also provide the opportunity to ask questions and receive additional advice on solving the problem. Don't miss the opportunity to purchase this valuable solution to a physics problem and successfully solve the problem with our help!

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The product in this case is the solution to problem 7.4.15 from the collection of Kepe O.?.

The problem gives the equation for the trajectory of a point, as well as the law of motion of the point in the direction of the Oy axis. It is necessary to determine the acceleration component ax at time t = 2 s.

Solving this problem includes the following steps:

1. Find the time derivative of the trajectory equation using the rule for differentiating the product of functions. You will get an expression for the speed of the point.

2. Find the derivative of the law of motion of a point in the direction of the Oy axis with respect to time, also using the rule for differentiating the product of functions. An expression will be obtained for the speed of the point in the direction of the Oy axis.

3. Find the second derivative of the trajectory equation with respect to time, again using the rule for differentiating the product of functions. You will get an expression for the acceleration of the point.

4. Substitute the time value t = 2 s into the resulting expression for acceleration and calculate the acceleration component ax.

So, the answer to the problem: the acceleration component ax at time t = 2 s is equal to 4.8.

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