The speed of the car after 90 minutes is 7.04 m/[tex]s^{2}[/tex]. This question is based on the concept of conservation of momentum.
According to the law of conservation of momentum," in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied". Therefore, it can be said that momentum can neither be created nor destroyed for an isolated system.
We have momentum of car before accumulation of snow and after accumulation of snow.
M1 = mass of car
V1 = constant velocity of car
M2 = mass of car + mass of accumulated snow
V2 = mass of the system ( car + snow together)
[tex]P_{initial[/tex] = [tex]P_{final[/tex]
M2V2 = M1V1
V2 = M1V1/M2
= 4800×7.5/4800+3.5×90 = 7.04 m/[tex]s^{2}[/tex]
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