For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
Answer:
d. The equation has one solution and there is not enough information to determine the direction of the parabola.
Step-by-step explanation:
For a general quadratic equation
y = ax² +bx +c
the solution is
The discriminant (D) is the part of the quadratic formula underneath the radical: b² - 4ac.
D tells us whether there are
If D= 0,
and there are two identical solutions ("one solution").
The direction of the parabola depends on the sign of a.
That information is not given, so we cannot determine the direction of the parabola.