Using antiderivatives to find velocity given acceleration with a domain If the acceleration is:

anginih86

anginih86

Answered question

2022-06-22

Using antiderivatives to find velocity given acceleration with a domain
If the acceleration is:
a = 9 0.9 t if 0 t 10
a = 0 if t > 10
Which function of a do I use to find the velocity? On my attempt, I had two separate antiderivatives (one for each domain), but it did not get me the correct answer.

Answer & Explanation

Kaydence Washington

Kaydence Washington

Beginner2022-06-23Added 32 answers

Step 1
v = a   d t
Step 2
So for 0 t 10, v = 9 t 0.45 t 2 + c for some constant c, and for t > 10, the velocity is constant, so it is equal to d for some other constant d (which could be numerically equal to c).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?