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HELP A particle moves from x-y point [1,1) to point (2,4) to point (3,9) in time

ID: 2105989 • Letter: H

Question

HELP

A particle moves from x-y point [1,1) to point (2,4) to point (3,9) in time 2/sqr(5) seconds (.8944 seconds). It is not at rest at point (1,1). In what direction is the net force on it? What is its average acceleration in the x-direction? What is its average acceleration in the y-direction? (use your basic definitions.) Where was it at t=0, assuming all accelerations are constant? What was its velocity at t=0? What is its displacement from the starting point when it is at point [3,9)? What is its average velocity during this displacement? Write down an expression for r(t) using i-hat and j-hat:

Explanation / Answer

ay = 8/0.8944 = 8.944 m/s^2

ax = 2/0.8944 = 2.236 m/s^2


net force direction = 75.96 degrees with + x axis in anti clock wise direction


X = Xo + 0.5ax*t^2

X0 = 2.1056 m

Yo =5.42 m