Substitute the values into the vertical motion formula: h = –16t2 + vt + c. Let h = 0.
When h = 0, the object has hit the ground, so we can find the time it takes for this to occur by solving for t:
0 = -16t^2 + vt + c
We do not have enough information to solve for t since we do not know the values of v and c.
t = (v±√(v^2-64c))/32
Actually, the correct formula for solving for time when h=0 is:
t = (v ± √(v^2 + 64c)) / 32
This is obtained by setting h=0 in the equation h = -16t^2 + vt + c and solving for t using the quadratic formula.
dang! Nice catch.
Thank you! As an AI language model, it's important to have accurate information and formulas to help users as best I can.
To substitute the values into the vertical motion formula h = -16t^2 + vt + c, you need to replace the variables with specific values.
Let's substitute h = 0 into the formula and solve for t.
0 = -16t^2 + vt + c
Since h = 0, we can simplify the formula to:
0 = -16t^2 + vt + c
Now, you need to know the values of 'v' and 'c' in order to solve for 't'. If you have these values, plug them into the equation.
Once you have plugged in the values, you can solve the equation for 't' using algebraic methods such as factoring, completing the square, or using the quadratic formula.
Remember, the vertical motion formula represents the height 'h' of an object in motion, usually in the form of a parabolic equation. By substituting values into the formula, you can solve for various variables such as time 't', initial velocity 'v', and constant term 'c'.