for the three - step question that follows, provide your answer to each part in the given workspace…
for the three - step question that follows, provide your answer to each part in the given workspace. identify each step with a coordinating response. part a: the formula used to find the displacement, s, of an object is s = v_i t+1/2 at^2. rearrange the formula for v_i. part b: the formula used to find the displacement, s, of an object is s = v_i t+1/2 at^2. rearrange the formula for a. part c: show your work for parts a and b to support your answers.
Answer
Explanation:
Step1: Rearrange formula for (v_i)
Starting with (s = v_it+\frac{1}{2}at^{2}), we first isolate the term with (v_i). Subtract (\frac{1}{2}at^{2}) from both sides: [s-\frac{1}{2}at^{2}=v_it] Then divide both sides by (t) (assuming (t\neq0)) to get (v_i=\frac{s - \frac{1}{2}at^{2}}{t}=\frac{s}{t}-\frac{1}{2}at)
Step2: Rearrange formula for (a)
Starting with (s = v_it+\frac{1}{2}at^{2}), we first isolate the term with (a). Subtract (v_it) from both sides: [s - v_it=\frac{1}{2}at^{2}] Then multiply both sides by (2) to get (2(s - v_it)=at^{2}) Finally, divide both sides by (t^{2}) (assuming (t\neq0)) to get (a=\frac{2(s - v_it)}{t^{2}})
Answer:
For (v_i): (v_i=\frac{s}{t}-\frac{1}{2}at) For (a): (a=\frac{2(s - v_it)}{t^{2}})