Please provide step by step instructions thanks. The vector position of a partic
ID: 2004320 • Letter: P
Question
Please provide step by step instructions thanks.
The vector position of a particle varies in time according to the expression r = 7.20 i - 8.80t^2 j where r is in meters and t is in seconds.
(a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
v =________ m/s
(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
a =________ m/s^2
(c) Calculate the particle's position and velocity at t = 5.00 s.
r = ________ m
v =_________ m/s
Explanation / Answer
Given: vector position of a particle varies in time is as r = (7.20 i - 8.80t2 j ) ( where r is in meters and t is in seconds) (a) expression for the velocity of the particle as a function of time can be obtained by taking the differnation of postion vector with respect to time thus, velocity of the particle = v = dr /dt = d( 7.20 i - 8.80t2 j )/dt v = ( -17.6 t j) m/s (b) Acceleration of the particle as a function of time can be obtained by taking the differnation to velocity function with respect to time thus, acceleratio of the particle = a = dv / dt a = d(( -17.6 t j) /dt a = (-17.6 j ) m/s2 (c) particle's position and velocity at t = 5.00 s.position of the paticle at t= 5 sec r = 7.20 i - 8.80(5)2 j = (7.20 i - 220.0 j) m velocity of the particle at t = 5 sec v = -17.6 (5) j m/s v = - 88 j m/s velocity of the particle at t = 5 sec v = -17.6 (5) j m/s v = - 88 j m/s
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