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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.
CHAPTER CONTENTS. 2-1 Position, Displacement, and Distance 2-2 Velocity and Speed 2-3 Different Representations of Motion 2-4 Constant-Velocity Motion 2-5 Acceleration 2-6 Equations for Motion with Constant Acceleration 2-7 Example Problem 2-8 Solving Constant-Acceleration Problems.
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.
Constant acceleration formulas (1D) In the special case of constant acceleration (a = constant), there are a set of formulas that relate position x, velocity v, and time t to acceleration a .
constant acceleration is freely falling objects. The ball is dropped from rest, so its initial velocity is zero. Because the y-axis is pointing upward and the ball is falling downward,
The equation v – = v 0 + v 2 reflects the fact that when acceleration is constant, v – is just the simple average of the initial and final velocities. Figure 3.18 illustrates this concept graphically. In part (a) of the figure, acceleration is constant, with velocity increasing at a constant rate.
