Question

С крыши дома упал кусок черепицы, он приземлился спустя 2,5 секунды после начала движения и приобрёл скорость 30 м/с. Вычислите начальную скорость куска черепицы и высоту дома.

Answer 1

Ответ:

3m/s

ускорение

свободного падени 9.8 м/c

Answer 2

Calculation of Initial Velocity and Height

To calculate the initial velocity and height of the piece of roof tile, we can use the equations of motion.

Let's denote the initial velocity as v0, the final velocity as vf, the time as t, and the acceleration due to gravity as g (which is approximately 9.8 m/s^2).

We are given the following information: - The piece of roof tile landed after 2.5 seconds (t = 2.5 s). - The final velocity of the piece of roof tile is 30 m/s (vf = 30 m/s).

Using the equation of motion vf = v0 + gt, we can solve for the initial velocity v0:

vf = v0 + gt

Substituting the given values: 30 m/s = v0 + (9.8 m/s^2)(2.5 s)

Simplifying the equation: 30 m/s = v0 + 24.5 m/s

Rearranging the equation to solve for v0: v0 = 30 m/s - 24.5 m/s v0 = 5.5 m/s

Therefore, the initial velocity of the piece of roof tile is 5.5 m/s.

To calculate the height of the house, we can use the equation of motion h = v0t + (1/2)gt^2.

Substituting the given values: h = (5.5 m/s)(2.5 s) + (1/2)(9.8 m/s^2)(2.5 s)^2

Simplifying the equation: h = 13.75 m + 30.625 m h = 44.375 m

Therefore, the height of the house is approximately 44.375 meters.

Please note that these calculations assume that the only force acting on the piece of roof tile is gravity and neglects air resistance.