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. A car moving on a straight road increases its speed at a uniform rate from 10 m/s to

in 5.0 s.
(a) What is its acceleration?
(b) How far did it go during those 5.0 s?
to 56 m/ in 30 secon

1 Answer

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Final answer:

The car's acceleration is 9.2 m/s² and it travels a distance of 165 m.


Step-by-step explanation:

To find the acceleration of the car, we can use the formula: acceleration = change in velocity / time. The change in velocity is 56 m/s - 10 m/s = 46 m/s. The time is 5.0s. So, the acceleration is 46 m/s / 5.0s = 9.2 m/s².

To find the distance traveled by the car during those 5.0s, we can use the formula: distance = initial velocity × time + (1/2) × acceleration × time². The initial velocity is 10 m/s, the time is 5.0s, and the acceleration is 9.2 m/s². Plugging in these values, we get: distance = 10 m/s × 5.0s + (1/2) × 9.2 m/s² × (5.0s)² = 50 m + 115 m = 165 m.


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