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A position-time graph for a particle moving along the x axis is shown in the fig

ID: 2289292 • Letter: A

Question

A position-time graph for a particle moving along the x axis is shown in the figure. The divisions along the horizontal axis represent 0.75 s and the divisions along the vertical axis represent 3.0 m. (a) Find the average velocity in the time interval t = 2.25 s to t = 6.00 s. -4.8 m/s (b) Determine the instantaneous velocity at t = 3.00 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. -2.47 . Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (c) At what value of t is the velocity zero? 6 s

Explanation / Answer

t= 3 secs

so no.of divisons = 4

now

tangent from (3,0) intersects the curve at (9/4 , 24) { 3 divisons on x-axis, 8 divisons on y axis}

now slope of tangent = instantaneous velocity = 24-0 / (9/4 -3) = -32 m/s

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