Is it possible to have zero acceleration but non-zero velocity at some instant in a motion?
Yes. If net force is zero.
what are net force? What do you mean?
Net Force is the sum of forces acting on a body. Since: \[F_{NET}=m*a\] and \[F_{NET}\alpha A\] we can say that if Net Force is 0, Acceleration is zero. And, because we know: R is the displacement vector, and: R'(t) = V(t) R''(t) = A(t) we can suppose a case where: A(t) = 0 and find our velocity from: \[\int A(t) dt=\int0dt=C_{1}\] where C is our integration constant. meaning that our velocity is some constant value. From this we can also find the displacement from: \[\int V(t) dt=\int C_{1}dt= C_{1}t+C_{2}\] making this a linear equation for R(t) which makes sense... constant velocity = linear displacement.
I'm so sorry but I have no idea what you just put above D:
Basically, the answer is yes. It happens when the sum of all the forces acting on an object is 0. Because the relation between Force and acceleration, and acceleration and velocity. I used calculus to show this, because it is quicker and easier than any other method.
The short answer is yes because force leads to acceleration of an object. However, if the object is already moving--i.e., has some velocity--then with no force acting on it, it will continue to keep moving. Perhaps the easiest analogy is on a billiard table, with negligible friction. You hit a ball; it accelerates; then it starts to move with constant velocity even though there no longer any force applied to it.
You should consider reviewing Newton's First Law (law of inertia): http://science.howstuffworks.com/science-vs-myth/everyday-myths/newton-law-of-motion1.htm
yes, it's possible.. if the velocity is constant , the acceleration is zero.
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