Question

In: Physics

Two cars start from rest at a red stop light. When the light turns green, both...

Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 4.7 m/s2 for 3.8 seconds. It then continues at a constant speed for 8.4 seconds, before applying the brakes such that the car’s speed decreases uniformly coming to rest 205 meters from where it started. The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the blue car comes to a stop.

How fast is the blue car going 2.7 seconds after it starts?

How fast is the blue car going 9.6 seconds after it starts?

How far does the blue car travel before its brakes are applied to slow down?

What is the acceleration of the blue car once the brakes are applied?

What is the total time the blue car is moving?

What is the acceleration of the yellow car?

Solutions

Expert Solution

Given is:-

acceleration of blue car   

Now,

Part - 1

time t = 2.7s

Part - 2

blue cars speed after first 3.8 seconds is

Hence, the blue car is going at 17.86 m/s after 9.6 seconds it starts

Part - 3

Distance travelled by the the blue car in its acceleration phase is given by

and distance travelled during its constant velocity phase is

which gives us

thus the total distance travelled by the blue car before applying brakes is

Part - 4

genius_generous answered 2 years ago
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