How do you find minimum speed given velocity?

3 Answers. The lowest velocity occurs right as acceleration changes direction. That is, we need to find the time τ when v′(τ)=0 so that the minimum speed is given by v(τ).

What is the formula for minimum speed?

Explanation: The minimum or critical speed is given by vcritical=√rg . This is the point where the normal (or tension, frictional, etc.) force is 0 and the only thing keeping the object in (circular) motion is the force of gravity.

How do you find the minimum speed of a projectile?

Separately, we know that, for a projectile for a given range R (on the same level), the minimum launch velocity is given by v∗=√gR. Assume that, for another given range r, the minimum launch velocity is w∗=√gr.

How do you find speed from velocity and function?

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

At what time is speed at a minimum?

Speed will be minimum when the quadratic expression inside the square root will be minimum. If the leading coefficient is positive, then the expression has a minima, as in the given problem.

How do you find minimum velocity in kinematics?

Steps: equate the derivative of velocity to zero and find the values of t for which the velocity is stationary (minimum or maximum). Find the second derivative of velocity and substitute the values of t which you found. If the second derivative has positive value then t gives minimum velocity.

What is the minimum velocity to complete a vertical circle?

At the top, tension is given by T = mvT2/R – mg, where vT = speed of the particle at the top. Note: In case the particle is attached with a light rod of length l, at the highest point its minimum velocity may be zero. Then, the critical velocity is 2√gl.

How do you find where a particle is when’s is a minimum?

The two ways to determine the location of the relative extrema is to take the derivative of s(t) – which is the velocity function, v(t) – and set it equal to zero and solve for t. Using a graphing calculator, you can use the ‘maximum’ or ‘minimum’ programs found in the CALC menu.

How to calculate distance when velocity and time is given?

You can use an online distance calculator of physics to calculate the distance when velocity and time is given. Also, the formula to calculate the distance covered by an object is as follow, S = vt. Where, S = Distance covered. v is the velocity. t is the time taken.

How do you calculate the speed of a moving object?

now, speed is the magnitude of velocity, and taking r’ (t) to be a position vector: speed = |r’ (t)| = SQRT ((2t)^2 + (5)^2 + (2t-16)^2) simplify this expression, this is your formula for speed. then examine this function to find its minimum, you will get t = some number

What is the minimum velocity over the interval [0 to 2]?

Thus, the minimum velocity over the interval [ 0, 2] is 0.630. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question.

How do you calculate the velocity of a particle?

The Simple Velocity Equation Physics. Velocity = (d) distance / (t) time. Our velocity formula (v=d/t calculator) also uses the same formula to calculate velocity.