Question

Мяч, брошенный вверх с балкона с высоты 3 метра, поднялся на высоту 4 метра относительно балкона и упал на землю. Определите модуль перемещения мяча

Answer 1

3 метра модуль перемещения мячя, потому что он вернулся в конечную точку

Answer 2

Calculating the Displacement of the Ball

To calculate the displacement of the ball, we can use the equation for displacement, which is given by:

Δy = v_i*t + (1/2)*a*t^2

Where: - Δy is the displacement - v_i is the initial velocity - t is the time - a is the acceleration

Given that the ball was thrown up from a height of 3 meters and reached a height of 4 meters relative to the balcony, we can calculate the displacement using the above equation.

Calculation

The initial velocity (v_i) is 0 m/s as the ball was thrown upwards, and the acceleration (a) due to gravity is -9.8 m/s^2 (taking downward direction as negative).

Using the equation for displacement, we can calculate the displacement of the ball.

Δy = v_i*t + (1/2)*a*t^2

Substituting the values: Δy = 0*t + (1/2)*(-9.8)*t^2 Δy = -4.9*t^2

The displacement of the ball can be calculated using this equation.

Conclusion

The displacement of the ball can be determined using the equation Δy = -4.9*t^2. This equation represents the vertical displacement of the ball as a function of time.