using the equation
y=yo + (vo sin Q) t - 1/2gt^2 I have to find t. The values for y, yo and vo were given to me.
So I set the equation up like this:
0=1.005 + (3.107 sin 0) t - 1/2(9.8)(t^2
The sin of 0 is 0 times 3.107 is 0.
So 0 = 1.005 t - 4.9 t^2
Now I am stuck. I am not sure how to solve this part. Thank you for your help!
To solve the equation 0 = 1.005t - 4.9t^2, you need to rearrange it and solve for t.
First, let's rewrite the equation as a quadratic equation by moving all terms to one side of the equation:
4.9t^2 - 1.005t = 0
Next, we can try factoring out a common factor to simplify the equation. In this case, we can factor out t:
t(4.9t - 1.005) = 0
Now, we have two options for which could be equal to zero:
1. t = 0
2. 4.9t - 1.005 = 0
Option 1 is trivial, as it would mean t is zero. So, let's focus on option 2:
4.9t - 1.005 = 0
To solve this linear equation, move -1.005 to the other side of the equation:
4.9t = 1.005
Now, divide both sides by 4.9 to isolate t:
t = 1.005 / 4.9
Calculating this division will give you the value of t.
To summarize, you can find the solution to the equation by factoring and isolating for t. In this case, you found that t is equal to 1.005 divided by 4.9.