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3 April, 14:22

A jet plane is flying at a constant altitude. at time t1=0 it has components of velocity vx = 94 m/s, vy = 110 m/s. at time t2 = 33.5 s the components are vx = 175 m/s, vy = 45 m/s. part a for this time interval calculate the average acceleration. give your answer as a pair of components separated by a comma. for example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. express your answer using two significant figures.

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  1. 3 April, 17:59
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    The motion where it is is acted upon two forces of different directions is a characteristic of a projectile motion. These two vector forces of the resultant force are the vx and vy component forces. The resultant force is denoted by v only, while the components are vx and vy.

    Now, the are to determine the x and y components of acceleration also denoted as ax and ay. By definition, acceleration is the change of velocity per change of time:

    a = Δv/Δt

    If we distinguish the component vectors,

    ax = Δvx/Δt and ay = Δvy/Δt

    The value for Δt is: Δt = 33.5 - 0 = 33.5 s. So, substituting the values,

    ax = (vx₂ - vx₁) / Δt

    ax = (175 m/s - 94 m/s) / 33.5

    ax = 2.42 m/s²

    ay = (vy₂ - vy₁) / Δt

    ay = (45 m/s - 110 m/s) / 33.5

    ay = - 1.94 m/s²

    Hence, the component vectors of the acceleration in (2.42,-1.94).
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