4. A car moving at a speed of 110 km/h approaches a bus traveling at a speed of 80 km/h. What is the velocity of the image of the car in the plane rear view mirror as seen by a passenger on the bus
Answers
speed of image is 50km/h
speed of car , v1= 110 km/h
speed of bus , v2 = 80km/h
as image of car is seen by a passenger on the bus. so, speed of bus is considered as speed of mirror and speed of car is considered as speed of object.
it is given that, mirror is plane.
so, position of object with respect to mirror = - position of image with respect to mirror,
⇒x_(om) = -x_(im)
differentiating with respect to time,
⇒v_(om) = -v_(im)
⇒(v_o - v_m) = -(v_i-v_m)
⇒(110km/h - 80km/h) = -(v_i -80km/h)
⇒30km/h = -v_i + 80km/h
⇒v_i = 50km/h
hence, speed of image is 50km/h
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speed of car , v1= 110 km/h
speed of bus , v2 = 80km/h
as image of car is seen by a passenger on the bus. so, speed of bus is considered as speed of mirror and speed of car is considered as speed of object.
it is given that, mirror is plane.
so, position of object with respect to mirror = - position of image with respect to mirror,
⇒x_(om) = -x_(im)
differentiating with respect to time,
⇒v_(om) = -v_(im)
⇒(v_o - v_m) = -(v_i-v_m)
⇒(110km/h - 80km/h) = -(v_i -80km/h)
⇒30km/h = -v_i + 80km/h
⇒v_i = 50km/h
hence, speed of image is 50km/h