Question

PHYS 1111L Part B Analyzing Velocity-Time Graphs Velocity (em/sec) 15 Time (sec) 10 -5 -15 Data Table for Part B- Analyzing Velocity-Time Graphs Ax X initial X final Interval | v 0-2 sec 2-4 sec 4-6 sec 6-8 sec 8-10 sec a average V final

Answer 1

The graph given above is a velocity vs time graph from 0 < t < 10s

for 0 - 2s, v_initial = v_final = v_average = 0 m/s

a_average = 0 m/s²

and so displacement $\Delta x$ and final position is also 0 m.

for 2-4s, v_initial = 0 m/s

v_final = 15 m/s

therefore, v_average = (0+15/2) = 7.5 m/s

=> a_average = 7.5/(4 - 2) = 3.75 m/s²

use v_final = v_initial + at

=> 15 = 0 + a(4 - 2)

=> a = 7.5 m/s²

therefore, $\Delta x=v_{initial}t&plus;\frac{1}{2}at^2 = 15 m$

x_initial = 0 m and so x_final = x_initial + $\Delta x$ = 0 + 15 = 15 m.

Repeat for other time segments.