Question

what does derivative of acceleration gives us?

Answer 1

Calculus is an advanced math topic, but it makes deriving two of the three equations of motion much simpler. By definition, acceleration is the first derivative of velocity with respect to time. ...

constant acceleration.

v = v0 + at [1]

v² = v0² + 2a (s_s0) [3]

Answer 2

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»what does derivative of acceleration gives us?

⭐Answer⭐

✔Calculus is an advanced math topic, but it makes deriving two of the three equations of motion much simpler.

✔ By definition, acceleration is the first derivative of velocity with respect to time. Take the operation in that definition and reverse it.

✔Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity. This gives us the velocity-time equation.

»If we assume acceleration is constant, we get the so-called given below equation of motion :-

✅v = v(0) + at_______(1)

»Other two can be :-

✅s = s0 + v0t + ½at2_____(2)

✅v2 = v02 + 2a(s − s0) ___(3)