- #1
silent bob
- 7
- 0
how would i write x= (12 m/s)t , y= (2.55 m/s)t-(4.9 m/s^2)t^2 as a function of time using the unit vectors i and j?
Vector Expression of x & y as Function of Time: Unit Vectors i & j
- Thread starter silent bob
- Start date
-
- Tags
- Expression Vector
Click For Summary
SUMMARY
The discussion focuses on expressing the position vector in terms of unit vectors i and j for the equations x = (12 m/s)t and y = (2.55 m/s)t - (4.9 m/s²)t². The position vector can be represented as r(t) = (12 m/s)t i + [(2.55 m/s)t - (4.9 m/s²)t²] j. This formulation clearly delineates the horizontal and vertical components of motion as functions of time, utilizing standard vector notation in physics.
PREREQUISITES- Understanding of basic kinematics
- Familiarity with vector notation in physics
- Knowledge of unit vectors i and j
- Concept of time-dependent functions
- Study vector representation of motion in physics
- Learn about projectile motion and its equations
- Explore the concept of time as a variable in kinematic equations
- Investigate the application of unit vectors in multi-dimensional motion
Students of physics, educators teaching kinematics, and anyone interested in understanding vector representations of motion in two dimensions.
Similar threads
- · Replies 38 ·
- · Replies 5 ·