Problem 3.27 A particle\'s position as a function of time f is given by F (5 or

Question

Problem 3.27 A particle's position as a function of time f is given by F (5 or 4 6 ori)mi (7.0 3.0t Part A Art 5.0s, snd the magnitude of the particle's displacement vector Ar relative to the point ro (0.01 7.0 Express your answer using two significant figures. 410 m Submit My Answers Give Up Correct Part B Att 50s, snd the angle ofthe particle's displacement vector Ar relatve the point ro (0.0i oj)m Express your answer using two significant figures. from positive z axis Submit My Answers give Up Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

Here ,

B)

r = (5t + 6t^2 ) i + (7 - 3 *t^2) j

at t = 5 s

r = (25 + 6 * 25 ) i + (7 - 3 * 25)

r = 175 i - 68 j m

Now , for the angle with r0 = i + 7 j

let the angle is theta

cos(theta) = r.r0/(|r| |r0|)

cos(theta) = (175 i - 68 j ).(0.0 i + 7 j )/((7) * sqrt(175^2 + 68^2))

cos(theta) = (-68 * 7 )/((7) * sqrt(175^2 + 68^2))

solving for theta

theta = 111.2 degree

the angle of particle's displacement vector is 111.2 degree

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