How can I find the velocity and acceleration of a particle in 2-dimensions?

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SUMMARY

The discussion focuses on determining the velocity and acceleration of a particle in two dimensions, given the position vector r = (7.40 i - 6.60t² j) m. The correct expressions for velocity and acceleration as functions of time are derived from the position vector. Specifically, the velocity v is found by differentiating the position vector with respect to time, yielding v = (7.40 i - 13.20t j) m/s, and the acceleration a is obtained by differentiating the velocity, resulting in a = (-13.20 j) m/s². Additionally, at t = 2.00 s, the position and velocity of the particle are calculated as r = (7.40 i - 26.40 j) m and v = (7.40 i - 26.40 j) m/s, respectively.

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Homework Statement


The vector position of a particle varies in time according to the expression r = (7.40 i - 6.60t2 j) m.
(a) Find expressions for the velocity and acceleration as functions of time. (Use t, i, and j as necessary.)
v =
a =
(b) Determine the particle's position and velocity at t = 2.00 s.
r =
v =


Homework Equations


kinematic of 2-dimen
r= v/t

The Attempt at a Solution


I found (b) r.. but i have no clue how to start part (A), i thought since R = V/t then
r =(7.40i - 6.60t^2)/ t but that was wrong.. so I'm thinking that r should be change into something. Any help would be great
 
Physics news on Phys.org
What is the definition of Velocity and Acceleration with respect to distance and time?
 
r/t is average velocity. your trying to find the instaneous rate of change. which means its time to put that calc 1 to use!
 

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