A particle starts from the origin at t=0 s with a velocity of 10.0 ĵ m / s and moves in the x-

step 1 Hi, here in this given problem, initial velocity of the particle that is given as u in vector fo

A particle starts from the origin at t=0 s with a velocity...

A particle starts from the origin at $t=0 \mathrm{~s}$ with a velocity of $10.0 \hat{j} \mathrm{~m} / \mathrm{s}$ and moves in the $x-y$ plane with a constant acceleration of $(8.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}$ At a time when $x$-coordinate of the particle $16 \mathrm{~m}$, (A) $24 \mathrm{~m}$ (B) $22 \mathrm{~m}$ (C) $20 \mathrm{~m}$ (D) None

A particle starts from the origin at $t=0 \mathrm{~s}$ with a velocity of $10.0 \hat{j} \mathrm{~m} / \mathrm{s}$ and moves in the $x-y$ plane with a constant acceleration of $(8.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}$ At a time when $x$-coordinate of the particle $16 \mathrm{~m}$,
(A) $24 \mathrm{~m}$
(B) $22 \mathrm{~m}$
(C) $20 \mathrm{~m}$
(D) None

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

Kinematic Equations for Constant Acceleration

These equations describe the relationship between displacement, initial velocity, time, and constant acceleration. They are essential for determining the position of a particle at any given time when acceleration remains unchanged, and they form the basis for solving motion-related problems in physics.

Vector Decomposition

This concept involves breaking down a motion into its independent components, typically along the x and y axes. By analyzing each direction separately, one can apply one-dimensional kinematic equations to solve for parameters such as displacement and velocity, thereby simplifying the solution of two-dimensional motion problems.

Time Determination in Kinematics

Finding the time at which a specific condition (such as reaching a certain coordinate) is met is a crucial step in kinematics problems. Once the appropriate time is computed from one component of the motion, it can be substituted into the equations governing the other component to fully describe the particle's trajectory.

Transcript

Please give Ace some feedback