Question

Мяч подброшен вертикально вверх. Высота мяча вычисляется по формуле h(t)=-6t2+36t,где h-высота в метрах, t-время в секундах. Определи, через сколько секунд после запуска мяч упадёт на землю

Answer 1

Ответ:

6 с

Объяснение:

Answer 2

Calculation of the Time it Takes for the Ball to Fall to the Ground

To determine the time it takes for the ball to fall to the ground, we can use the given formula for the height of the ball as a function of time: h(t) = -6t^2 + 36t, where h represents the height in meters and t represents the time in seconds.

To find the time when the ball hits the ground, we need to find the value of t when h(t) equals zero. This is because the height of the ball is zero when it touches the ground.

Setting h(t) = 0, we have the equation -6t^2 + 36t = 0. We can factor out a common factor of 6t to simplify the equation: 6t(-t + 6) = 0.

This equation is satisfied when either 6t = 0 or -t + 6 = 0. Solving these equations, we find two possible values for t: t = 0 and t = 6.

However, since we are interested in the time after the ball is launched, we can disregard t = 0. Therefore, the ball will hit the ground after 6 seconds.

Therefore, the ball will fall to the ground approximately 6 seconds after it is launched.