At the instant shown, car B travels with a speed of 15 m/s. which is increasing
ID: 1637749 • Letter: A
Question
At the instant shown, car B travels with a speed of 15 m/s. which is increasing at a constant rate of 1.5 m/s^2, while car C travels with a speed of 15 m/s: which is increasing at a constant rate of 4.5 m/s^2 Determine the x and y components of the velocity of car B with respect to car C using scalar notation Express your answers using three significant figures separated by a comma. (upsilon B|C)_x = 0.0 m/s Determine the x and y components of the acceleration of car B with respect to car C using scalar notation. Express your answers using three significant figures separated by a comma. (alpha B|C)_x (alpha B?C)_x = 2.49.0Explanation / Answer
For Car C:
centripetal acc, a1c = (15^2 / 250) ( -cos45i + sin45j)
a1c = - 0.636i + 0.636j m/s^2
tangential ac.,a2 = 4.5(-cos45i - sin45j)
a2 = -3.182i - 3.182j m/s^2
aC = a1 + a2 = - 3.818i - 2.546j
For B:
centripteal acc. a1 = (15^2 / 250)(-i)
= - 0.9 i
tangential , a2 = -1.5 i
aB = a1 + a2 = - 2.4i m/s^2
aB wrt C = aB - aC
= - 2.4i - ( - 3.818i - 2.546j )
= 1.4i + 2.5j
Ans: (1.4 , 2.5 )
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