Question

2) Taking the initial parameters, and the time index shown at 25.000 m, verify the time is correct by solving the equation: x=X. + vot.+ 12at2. Show your work below.

Answer 1

To verify the time using the equation x = xo + vot + 1/2at^2, substitute the given values and solve for time (t) using the quadratic formula.

Step-by-step explanation:

To verify the time using the equation x = xo + vot + 1/2at^2, we need to substitute the given values and solve for time (t). In this equation, x represents the displacement, xo is the initial position (which is 0 in this case), vo is the initial velocity (which is not given), a is the acceleration (which is not given), and t is the time.

To solve for time, we rearrange the equation and simplify it:

x = 0 + vo*t + 1/2*a*t^2

Rearranging the equation, we get:

t^2 + (2*vo/a)*t - (2*x/a) = 0

This equation represents a quadratic equation, so we can use the quadratic formula to solve for t:

t = (-b ± sqrt(b^2 - 4ac))/(2a)

Once we substitute the given values for x, xo, and a into the equation, we can solve for t.