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Chapter 4: Q. 22P (page 106)

22. II Susan, driving north at60mph , and Trent, driving east at 45mph, are approaching an intersection. What is Trent's speed relative to Susan's reference frame?

Short Answer

Expert verified

The Trent's speed relative to Susan's reference frame is75mph

Step by step solution

01

Step 1. Given information

Susan is driving north at 60mphand Trent is driving east at 45mph, and they are approaching an intersection.

The following figure shows the vector representation of the speed of the Susan with respect to Trent's reference.

02

Step 2. Explanation

The speed of the Trent with respect to the speed of the Susan's reference frame, from the shown figure(I) is,

V鈫�TS2=V鈫�SG2+V鈫�TG2

Here, V鈫�TSis the speed of the Trent with respect to the speed of the Susan's reference frame, V鈫�SGis the speed of the Susan with respect to the ground, and V鈫�TGis the speed of the Trent with respect to ground.

V鈫�TS2=60鈥尘辫丑2+45鈥尘辫丑2V鈫�TS=5625mph2=75mph

Thus, the Trent's speed relative to Susan's reference frame is75鈥尘辫丑

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