82.35 m = (0)t + 1/2(-9.8)t^2 t = 4.1 s is correct
Could someone please walk me through this? I could not get an answer because of the negative (maybe my order of operations is wrong) I have no idea!
You correct.
t^2 = 82.35/4.9
But how did you get positive 4.9 when dividing -9.8 by one half?
s(t) = 0t - 4.9t^2
Technically, s(t) indicates that the object is moving in a negative direction, as if falling from a height of 0m into a canyon.
So, you equation should really be
s(t) = -82.35
indicating it takes 4.1s to fall 82.35m.
I'll let you worry about the +/- signs.
Sure! Let's break down the equation step by step and explain each part:
The equation you provided is a representation of motion in the vertical direction with respect to time, under the influence of gravity.
82.35 m = (0)t + 1/2(-9.8)t^2
- The left side of the equation (82.35 m) represents the vertical displacement, which is the distance an object has moved vertically.
- The right side of the equation has two terms: (0)t and 1/2(-9.8)t^2.
Now, let's analyze the terms on the right side of the equation:
(0)t: The first term (0)t represents the initial vertical velocity of the object. In this case, the initial velocity is 0 m/s because there is no vertical velocity at the beginning.
1/2(-9.8)t^2: The second term represents the effect of gravity on the object. The constant -9.8 m/s^2 represents the acceleration due to gravity. The negative sign indicates that it acts in the opposite direction of the object's initial velocity.
The term t^2 represents the square of time, which means the effect of gravity increases as time goes on.
To find the time, we need to solve the equation for t. Let's rearrange the equation:
82.35 m = 1/2(-9.8)t^2
We can multiply both sides of the equation by 2 to eliminate the 1/2:
164.7 m = -9.8t^2
Now, divide both sides of the equation by -9.8 to isolate t^2:
t^2 = -16.81
Finally, to solve for t, we need to take the square root of both sides of the equation. However, since time cannot be negative in this context, the equation has no real solutions. Therefore, there is no valid time value that satisfies this equation.
So the statement "t = 4.1 s is correct" is actually incorrect.