Question

От удара мяч полетел вертикально вверх со скоростью 10м/с. Сколько времени мяч будет находиться в полёте?

Answer 1

Движение мяча равнопеременное. Уравнение движения в проекции на ось y

y=V0t-gt^2/2

в момент падения координата стала равна 0

приравняем

0=10t-5t^2

разделим на t не=0

получим уравнение

0=2-t

t=2c

 

Answer 2

Calculation of the Time the Ball is in Flight

To calculate the time the ball will be in flight, we can use the equation of motion for vertical motion:

h = v0 * t - (1/2) * g * t^2

Where: - h is the height of the ball above the ground, - v0 is the initial vertical velocity of the ball, - t is the time the ball is in flight, and - g is the acceleration due to gravity.

In this case, the ball is thrown vertically upward, so the initial vertical velocity (v0) is 10 m/s and the acceleration due to gravity (g) is approximately 9.8 m/s^2.

To find the time the ball is in flight, we need to determine the height (h) at which the ball reaches its maximum height. At this point, the vertical velocity of the ball will be zero.

Using the equation of motion, we can rearrange it to solve for time (t):

0 = v0 - g * t

Solving for t, we get:

t = v0 / g

Substituting the given values, we have:

t = 10 m/s / 9.8 m/s^2

Calculating this, we find:

t ≈ 1.02 seconds

Therefore, the ball will be in flight for approximately 1.02 seconds.