If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.

If this acceleration is multiplied by the particle mass, the leading term is the centripetal force and the negative of the second term related to angular acceleration is sometimes called the Euler force.

If hammering downwards gravity will increase the acceleration during the hammer stroke and increase the energy delivered with each blow.

If hammering upwards gravity will reduce the acceleration during the hammer stroke and therefore reduce the energy delivered with each blow.

If the initial and final positions are sufficiently close together, the maximum acceleration or maximum velocity may never be reached.

If other effects were ignored, tidal acceleration would continue until the rotational period of the Earth matched the orbital period of the Moon.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

If an object with comparable mass to that of the Earth were to fall towards it, then the corresponding acceleration of the Earth really would be observable.

If the object doesn't bounce after it has collided with the Earth, each of them then exerts a repulsive contact force on the other which effectively balances the attractive force of gravity and prevents further acceleration.

If the particles become fast enough that relativistic effects become important, the beam becomes out of phase with the oscillating electric field, and cannot receive any additional acceleration.

If the charged object has a positive charge, the force and acceleration will be in the direction of the field.

If the acceleration vector A of a particle P is constant in magnitude and direction, the particle is said to be undergoing uniformly accelerated motion.

If the trajectory of the particle is constrained to lie on a cylinder, then the radius R is constant and the velocity and acceleration vectors simplify.

If the Moon continues to recede from the Earth due to tidal acceleration, resonances may occur which will cause large oscillations of the obliquity.

( If each square represents 10 metre instead, the size of the track and the maximum acceleration will be more realistic.

If the mass remains unchanged, as is most often the case, then the velocity changes and acceleration occurs.

If you know momentum and the mass of the object you do not need acceleration to calculate final velocity.

If the vehicle does not have adequate wheel location in the vertical plane ( such as a rear-wheel drive car with Hotchkiss drive, a live axle supported by simple leaf springs ), vertical forces exerted by acceleration or hard braking combined with high unsprung mass can lead to severe wheel hop, compromising traction and steering control.

If the object is much denser than the fluid, then B approaches zero and the object's upward acceleration is approximately − g, i. e. it is accelerated downward due to gravity as if the fluid were not present.

If the oscillation is sufficiently strong ( in terms of its acceleration and amplitude ) then the inverted pendulum can recover from perturbations in a strikingly counterintuitive manner.

If any of us miss, they can pick up the pieces.

`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.

If we cannot stop warfare in our own economic system, how can we expect to abolish it internationally??

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If Mrs. Wright doesn't accept the terms in the morning, I'll go either to Tokyo or to Holland, to do what I can.

If within one year you can make a success out of the American, you can practically name your own salary thereafter.

If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.

If there be a disinterested patriot in America, 'tis General Washington, and his bravery, none can question ''.

`` If you can firmly make the good knight sure to pleasure our Corporation '', Sturley wrote, `` besides that ordinary allowance for your diet you shall have 20 for recompence ''.

If man is actually the product of his environment and if science can discover the laws of human nature and the ways in which environment determines what people do, then someone -- a someone probably standing outside traditional systems of values -- can turn around and develop completely efficient means for controlling people.

If the manner of his passing moves the nations to act in the spirit of his dedication the sore issues that plague the world can yet be resolved with reason and justice.

If they do as well as they did in 1960 there can be no complaint.

If he can bounce back with one of those 25 home runs years, the club will have to be better off offensively.

If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.

`` If the day should ever come that foreign invaders swarm ashore along the Gulf Coast '', the account reads, `` they can count on heavy opposition from a group of commando-trained telephone employees -- all girls.

If we cluster together, the redcoats can make an advantage out of it, but there's not a blessed thing they can do with two or three of us except chase us, and we can outrun them ''.

If there is anything which we can do in the executive branch of the Government to speed up the processes by which we come to decisions on matters on which we must act promptly, that in itself would be a major contribution to the conduct of our affairs.

If the target can change its position significantly during the 30 minutes the missile is in the air on its way, the probability of the missile destroying the target is drastically reduced.

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

If there are any major restrictions, they usually can be obtained in printed form.

Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.