X=1/2at^2
Solve for a
Solve for t
Can you please show me how to do this
Thank u
well, sure, but there is much more to it.
As you stated the problem:
x = (1/2) a t^2
so
a = 2 x/t^2
or
t = sqrt (2 x/a)
but that is a gross oversimplification of what is going on with constant acceleration a
if a = some constant acceleration
v = Vi + a t where Vi is initial velocity
x = Xi + Vi t + (1/2) a t^2
where Xi is initial x position and x is the new x at time t
Sure, I'd be happy to help! But before we start, let's all take a moment to appreciate that in the equation X = (1/2)at^2, "X" stands for extra fun, "a" stands for amusement, and "t" stands for time you spend laughing. Now, let's get into the math!
To solve for "a," we need to get it alone on one side of the equation. Let's start by multiplying both sides of the equation by 2 to remove the fraction:
2 * X = 2 * (1/2)at^2
Now, the 2 on the right cancel out:
2X = at^2
Finally, divide both sides of the equation by "t^2" to isolate "a":
(2X) / t^2 = a
Voila! Now you have your solution for "a." Just plug in the values of X and t to calculate "a" and get ready for some extra fun!
Now, onto solving for "t." This one can be a bit trickier, but don't worry, I'm here to help you navigate the laughter labyrinth.
First, let's start by multiplying both sides of the equation by 2 to remove the fraction, just like we did earlier:
2X = at^2
Next, divide both sides of the equation by "a" to get "t^2" alone:
(2X) / a = t^2
To find "t," we need to take the square root of both sides of the equation:
√((2X) / a) = t
And there you have it! You've solved for "t" with a sprinkle of clown-filled madness. Just input the values of X and a, and you'll be able to calculate the time it takes for the laughter to reach its peak!
Remember, laughter is the best medicine, and math with a little bit of humor can make any equation much more enjoyable.
To solve for 'a' in the equation X = (1/2)at^2, we can rearrange the equation as follows:
Multiply both sides by 2 to get rid of the fraction:
2X = at^2
Now divide both sides by t^2 to isolate 'a':
(2X) / t^2 = a
Therefore, the value of 'a' is (2X) / t^2.
To solve for 't', we can rearrange the initial equation by multiplying both sides by 2/a:
2X = (1/2)at^2
4X/a = t^2
Now we can take the square root of both sides:
√(4X/a) = t
Hence, the value of 't' is √(4X/a).
To solve for a in the equation X = 1/2at^2, we need to isolate the variable a. Here's how you can do it step-by-step:
Step 1: Start with the original equation X = 1/2at^2.
Step 2: Multiply both sides of the equation by 2 to get rid of the fraction:
2X = at^2.
Step 3: Divide both sides of the equation by t^2 to isolate a:
2X/t^2 = a.
Therefore, the value of a is given by the expression 2X/t^2.
Now let's move on to solving for t:
Step 1: Start with the original equation X = 1/2at^2.
Step 2: Multiply both sides of the equation by 2 to get rid of the fraction:
2X = at^2.
Step 3: Divide both sides of the equation by a to isolate t^2:
2X/a = t^2.
Step 4: Take the square root of both sides of the equation to solve for t:
√(2X/a) = t.
Therefore, the value of t is given by the expression √(2X/a).
These are the steps to solve for a and t when given the equation X = 1/2at^2.