Question

3. Derive the kinematic Equation
motion for constant acceleration.
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Answer 1

Answer:

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 first equation of motion [1].

...

constant acceleration.

v = v0 + at [1]

s = s0 + v0t + ½at2 [2]

=

v2 = v02 + 2a(s − s0) [3]

Answer 2

Answer:

Explanation:

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 first equation of motion