Cengage illustration 6.55 Newtons Law's of Motion IIT JEE Advanced 2025
Cosmo Physics・2 minutes read
A rod of length "l" at an angle theta with the horizon shows a decreasing derivative with a negative sign. Applying the Pythagorean theorem results in x^2 + x^2 = 2, and solving for v simplifies to v = b.
Insights
- The angle theta between a rod of length "l" and the horizon impacts the function's derivative, causing it to decrease with a negative sign.
- Applying Pythagoras' theorem, the equation x^2 + x^2 = 2 can be solved to provide insights into mathematical relationships and calculations.
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Recent questions
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
How is the angle of a rod measured?
The angle of a rod is measured in relation to the horizon, with the length of the rod being "l" and the angle being denoted as theta.
What does a decreasing derivative with a negative sign indicate?
A decreasing derivative with a negative sign suggests that the function is decreasing at that point, meaning the slope of the function is negative and the function is trending downwards.
How is velocity calculated in the given equation?
To calculate velocity in the equation -v + b = 0, where v is the velocity and b is a constant, you would solve for v by rearranging the equation to isolate v, resulting in v = b.
What does it mean for a function to have a negative derivative?
A negative derivative of a function indicates that the function is decreasing at that point, meaning the slope of the function is negative and the function is trending downwards.
Related videos
Summary
00:00
"Rod angle, decreasing derivative, Pythagorean solution"
- Rod of length "l" makes an angle theta with the horizon
- Derivative of the function is decreasing with a negative sign
- According to Pythagoras, x^2 + x^2 = 2
- Solve for v: -v + b = 0, v = b
