How do I find speed at a given point in time given the acceleration

Question

I have the acceleration and the time elapsed. Say the acceleration is 5m/s^2. I need to find the speed at second 3. How would I go about doing that?

Well, what do you know about the relation between speed and acceleration? — Gerry Myerson, Sep 13 '17 at 02:23
As you can probably guess I am taking physics I. I have checked every reference I have, and have found nothing concerning this matter. So, nothing I suppose. — Ramiro Rocha, Sep 13 '17 at 02:24
OK, then: acceleration is the derivative, with respect to time, of the speed. So now the question is, what do you know about derivatives and antiderivatives? — Gerry Myerson, Sep 13 '17 at 02:29
Ok, so when you said that you know nothing about the relation between the two, that probably wasn't very true. Regardless: Something increases by 5 units a second for 3 seconds. What's the result? — , Sep 13 '17 at 02:30
@user296602 I'm an idiot. Thank you for the answer. Please post this as an answer so that it can be accepted. — Ramiro Rocha, Sep 13 '17 at 02:32
@RamiroRocha You can write this as an answer and post it yourself if you'd like; it would be good practice. — , Sep 13 '17 at 02:34

score 1 · Answer 1 · answered Sep 13 '17 at 02:35

1

$acceleration(t)=\frac{\delta V(t)}{\delta t}$

$\implies V(t)=\int aceleration(s) ds= \int \frac{5m}{s^2} ds = \frac{-5m}{s}+C$

With C an initial condition?

answered Sep 13 '17 at 02:35

nosferatttu

1 Answers1