Question

which graph has the greatest magnitude of displacement? x (m) a x (m) b x (m) c 25 5 10 0 0 10 t(s) 0 10 t(s) 0 10 t(s) x (m) d x (m) e x (m) f 10 15 10 5 0 0 10 t(s) 0 10 t(s) 0 10 t(s) o a o b o c o d o e o f

Explanation:

Step1: Recall displacement formula

Displacement $\Delta x=x_f - x_i$, where $x_f$ is final position and $x_i$ is initial position.

Step2: Analyze graph A

$x_i = 25$, $x_f=25$, $\Delta x=25 - 25=0$.

Step3: Analyze graph B

$x_i = 5$, $x_f=5$, $\Delta x=5 - 5=0$.

Step4: Analyze graph C

$x_i = 0$, $x_f=10$, $\Delta x=10 - 0 = 10$.

Step5: Analyze graph D

$x_i = 3$, $x_f=10$, $\Delta x=10 - 3=7$.

Step6: Analyze graph E

$x_i = 15$, $x_f=0$, $\Delta x=0 - 15=- 15$, magnitude is $15$.

Step7: Analyze graph F

$x_i = 0$, $x_f=5$, $\Delta x=5 - 0=5$.

Answer:

E