Example 3  Acceleration and Increasing Velocity

Suppose the plane in Figure 2.6 starts from rest (v0=0 m/s) when t0=0 s. The plane accelerates down the runway and at t=29 s attains a velocity of v=+260 km/h, where the plus sign indicates that the velocity points to the right. Determine the average acceleration of the plane.

Reasoning  The average acceleration of the plane is defined as the change in its velocity divided by the elapsed time. The change in the plane’s velocity is its final velocity v minus its initial velocity v0, or vv0. The elapsed time is the final time t minus the initial time t0, or tt0.

Solution The average acceleration is expressed by Equation 2.4 as



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