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know formulae for constant velocity and constant acceleration. be able to solve problems on motion with constant velocity and constant acceleration, including problems involving several such stages. understand what is meant by the terms ‘average speed’ and ‘average velocity’. 1.1 Motion with constant velocity. y of 100 paces per minute due east. Wh
Constant Acceleration Equations. For an object that has an initial velocity u and that is moving in a straight line with constant acceleration a, the following equations connect the final velocity v and displacement s in a given time t. = u + at. (u + v)t. = ut +. at2. = vt −. at2. v2 = u2 + 2as.
Average velocity: a vector representing the average rate of change of position with respect to time. The SI unit for velocity is m/s (meters per second). Because the change in position is the displacement, we can express the average velocity as: . (Equation 2.2: Average velocity) The bar symbol ( _) above a quantity means the average of that ...
When acceleration is constant, the average velocity is midway between the initial and final velocities. Motion at Constant Acceleration . (equation 2) The average velocity of an object during a time interval t is. x ( t ) x v x . o. t t t. t ( v 0.
In addition to being useful in problem solving, the equation v = v 0 + a t v = v 0 + a t gives us insight into the relationships among velocity, acceleration, and time. We can see, for example, that. Final velocity depends on how large the acceleration is and how long it lasts
(See the appendix or your text for proofs of the remaining formulas.) Example: Braking car. A car is moving to the right with initial velocity v o = + 21 m/s. The brakes are applied and the car slows to a stop in t = 3 s with constant acceleration. What is the acceleration of the car during braking? a = ? a a 7m/s v 0 21 m/svv 0 2 t t 3s
Velocity equation. y. Example: Ball thrown upward. A person throws a ball upward into the air with an initial velocity of 10.0 m/s. Calculate. ---------------------------------. how high it goes, and. how long the ball is in the air before it comes back to the hand. (Ignore air resistance.)
