Soru
-45m=(10m/s)t-(1)/(2)(9,80m/s^2)t^2
Çözüm
4
(264 Oylar)
Samet
Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve the equation \(-45m = (10 \, \text{m/s})t - \frac{1}{2}(9.80 \, \text{m/s}^2)t^2\), we need to find the value of
that satisfies the equation. This is a quadratic equation in the form of
, where:- \(a = -\frac{1}{2}(9.80 \, \text{m/s}^2) = -4.9 \, \text{m/s}^2\)-
-
We can solve this quadratic equation using the quadratic formula:
First, let's calculate the discriminant (
):
Now, we can find the values of
:
This gives us two solutions for
:
Since time cannot be negative in this context, we discard the negative solution. Therefore, the time
that satisfies the equation is approximately: