Which of the following equations correctly expresses the relation between vectors A⃗ , B⃗ , C⃗ , and D⃗ shown in the figure?

Physics

2 answers:

Sav [3.1K]2 months ago

7 0

C) B ⃗ = A ⃗ + C ⃗ Pay attention to the direction of the arrows (vectors).

kicyunya [3.2K]2 months ago

5 0

The equation that accurately represents the relationship among vectors A⃗, B⃗, C⃗, and D⃗ depicted in the figure is: a. A⃗ + B⃗ − C⃗ − D⃗ = 0. Vectors are characterized by both a magnitude and direction, visually represented as directed line segments; a scalar, by contrast, is indicated by a single number. The question presents options including equations a. through d., with a. being correct.

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Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant

Yuliya22 [3333]

Answer:

$v_f = 13m/s + 0.75 \frac{m}{s^2} * 16 s= 13 m/s +12m/s = 25 m/s$

Explanation:

In this scenario, we determine the initial velocity as follows:

$v_i = 7 \frac{m}{s}$

The final velocity in this instance can be expressed as:

$v_f = 13 \frac{m}{s}$

It is noted that transitioning from 7m/s to 13m/s takes 8 seconds. We can apply a specific kinematic equation to find the acceleration for the first part of the journey:

$v_f = v_i +at$

Solved for acceleration, we find:

$a = \frac{v_f -v_i}{t} = \frac{13 m/s -7 m/s}{8 s}= 0.75 \frac{m}{s^2}$

For the subsequent route, we assume constant acceleration and that the train continues for 16 seconds, beginning with an initial velocity of 13m/s from the previous segment, allowing us to calculate the final speed via the following formula:

$v_f = v_ i +a t$

Substituting into the equation yields:

$v_f = 13m/s + 0.75 \frac{m}{s^2} * 16 s= 13 m/s +12m/s = 25 m/s$

5 0

4 months ago