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

Question

A position-time graph for a particle moving along the x axis is shown in Figure P2.5. The divisions along the horizontal axis represent 1.75 s and the divisions along the vertical axis represent 2.0 m. http://www.webassign.net/serpop/p2-5alt.gif

(a) Find the average velocity in the time interval t = 6.00 s to t = 16.00 s. m/s

(b) Determine the instantaneous velocity at t = 8.00 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. m/s

(c) At what value of t is the velocity zero? s

Explanation / Answer

1. 6sec -> 6/1.75 = 3.4 units

at this time, x = 7 units = 7 x 2 = 14 m

at 16sec -> 16/1.75 = 9.1 units

at this time, x = 2 units = 4 m

average velocity = ( x16 - x6) / (16 - 6)

= 4 - 14 / 10

= - 1 m/s

(B) at t = 8sec

velocity = slope = - 13 vertical units / 7 horizontal units

= (-13 x 2) / (7 x 1.75)

= 2.12 m/s

(C) velocity is zero where slope of x vs t curve is zero.

t = 8 units = 8 x 1.75 = 14 sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.