Car A rounds a curve of 107-m radius at a constant speed of 58 km/h. At the inst

Question

Car A rounds a curve of 107-m radius at a constant speed of 58 km/h. At the instant represented, car B is moving at 79 km/h but is slowing down at the rate of 3.7 m/s2. Determine the velocity and acceleration of car A as observed from car B in vector form.

vA/B = (?)i  + (?)j m/s aA/B = (?)i  + (?)j m/s Car A rounds a curve of 107-m radius at a constant speed of 58 km/h. At the instant represented, car B is moving at 79 km/h but is slowing down at the rate of 3.7 m/s2. Determine the velocity and acceleration of car A as observed from car B in Form.

Explanation / Answer

Let upward be positive y and eastward be positive x.

Velocity of car A=16.11 m/s j

Acceleration of car A=v2/r=-2.43 m/s2 i inward.

Velocity of car B=-21.94m/s i

Acceleration of car B=3.7m/s2

va|b=16.11i+21.94j=27.22m/s at 53.7 degrees north of east

aa|b=-2.43-3.7=-6.13i=6.13m/s2 westward.

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