A graph of moving body with constant acceleration is given...

A graph of moving body with constant acceleration is given in the figure. What is the velocity after time t? (A) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{OE}$ (B) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{DE}$ (C) $\mathrm{AB}+(\mathrm{BC} / \mathrm{DC}) \cdot \mathrm{OE}$ (D) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{AD}$

A graph of moving body with constant acceleration is given in the figure. What is the velocity after time t? (A) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{OE}$
(B) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{DE}$
(C) $\mathrm{AB}+(\mathrm{BC} / \mathrm{DC}) \cdot \mathrm{OE}$
(D) $\mathrm{OA}+(\mathrm{DC} / \mathrm{BC}) \cdot \mathrm{AD}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Acceleration

This concept refers to a situation where an object's acceleration remains constant throughout its motion. Under uniform acceleration, the velocity of the object changes linearly with time, meaning that any graphs depicting velocity as a function of time are straight lines. This property simplifies the analysis of motion, allowing the use of linear equations to relate initial velocity, acceleration, and elapsed time.

Kinematic Equations

Kinematic equations are the fundamental relations that connect displacement, velocity, acceleration, and time in motion analysis. For an object moving with constant acceleration, these equations are particularly useful. The standard equation v = v0 + at, where v represents the final velocity, v0 the initial velocity, a the constant acceleration, and t the time interval, is essential for determining the velocity at any time during the motion.

Graphical Analysis of Motion

Graphical analysis involves using graphs like displacement-time, velocity-time, or acceleration-time diagrams to interpret the motion of an object. In the context of constant acceleration, the slope of a velocity-time graph indicates the acceleration, and the area under the curve can represent displacement. This visual approach aids in understanding the relationships between different variables involved in motion.

Transcript

Please give Ace some feedback