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#4, 5, and 6 S The posation s in meters at time t in seconds of an object is giv

ID: 1865514 • Letter: #

Question

#4, 5, and 6

S The posation s in meters at time t in seconds of an object is given by x=8 + 2ti-3t What is the instantaneous acceleration of the object ilt150s2 2o) Agreen motoreycle and a yellow motorcycle are initially 600 m apart. The green motorevcle is trav eling F ast with a constant velocity of 29 6 m/s. The yellow motorcycle is traveling West with an imitial velocity of-3.76 m's and a constant acceleration of ,, 24 mis l low long will it be belore they meet? 20 Calculate the magnitude and direction angle of the sum of the vectors shown below drawn to scale 30.0 14 2 m/s 5.19 m/s 15.0

Explanation / Answer

Problem 4 and 5 are not clearly visible, therefore solving 6.

Resolving forces in x-axis

Fx = 14.2 cos60 + 5.19 cos 75 = 8.44 N

Resolving in forces along y-axis

Fy = 14.2 cos30 - 5.19 cos15 = 7.28 N

So, Force, F = (Fx^2 + Fy^2)^0.5 = 11.15 N

Direction theta = arctan (Fy/Fx) = 40.78 degree

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