Aporsche challenges a honda to a 400 m race. because the porsche’s acceleration of 3.5 m/s 2 is larger than the honda’s 3.0 m/s 2, the honda gets a 100-m head start—it is only 300 m from the finish line. assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance. who wins, and by how much time?

Explanation:

It is given that,

For Honda:

Initial velocity, u = 0

Initial position,

Final position,

Acceleration,

Let t is the time taken by Honda. Using second equation of motion as :

t = 14.14 seconds

For Porsche’s :

Initial velocity, u = 0

Initial position,

Final position,

Acceleration,

Let t' is the time taken by Honda. Using second equation of motion as :

t' = 15.11 seconds

Since, the time taken by Honda is less while the time taken by Porsche's is more. So, Honda wins the race by (15.11 - 14.14 = 0.97) seconds. Hence, this is the required solution.

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