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ID: 1778060 • Letter: I

Question

iPad 7:07 PM 82% session.masteringphysics.com C Accelen Course Ho... Masteri. Sign In or haibike ele... openvellu... blackboar... Blackboar Blackboar.. ResellerRa... HWO90 Exercise 3.8 a previous|11 of 11 | return to assignment Exercise 3.8 5.00 m/s (0.0180 m/s)ti + A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by 2.00 m/s +(0.550 /s t3 Part A What is ax (t) the x-component of the acceleration of the car as function of time? () ax(t)-(-0.0180 m/s)t O ax(t) -0.0360 m/s3)t ax(t) = (0.0360 m/s)t Submit My Answers Give Up Correct Part B What is ay (t) the y-component of the acceleration of the car as function of time? a,(t) = 0.550 m/s2 O ay(t) = 2.00 m/s2 ay (t) = (-0.550 m/s)t

Explanation / Answer

a = dv/dt = ( - 0.036t)i + (0.550)j

(A) a_x =- 0.036 t


(B) ay = 0.550 m/s^2

(c) v = 4.17i + 5.73j

|v| = sqrt(4.17^2 + 5.73^2) =7.10 m/s


(d) theta = tan^-1(5.73/4.17) = 54 deg

(e) a = -0.244i + 0.550j

magnitude = sqrt(0.244^2 + 0.550^2) = 0.602 m/s^2


(f) theta = 180 - tan^-1(0.550/0.240) = 114 deg