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Ostrovityanka [42]
3 years ago
13

A train traveling at 10m/s slows down to a complete stop in 20s. What is the

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

The acceleration of the train is 0.5m/s²

Step-by-step explanation:

Given

Velocity of the train = 10m/s

Time taken = 20 s

Required

Find the acceleration of the train.

The Acceleration if an object is the rate of change of the velocity of the object over time.

In other words, acceleration is calculated by dividing velocity by time.

Mathematically,

Acceleration = velocity ÷ Time

By substituting 10m/s for velocity and 20s for time, we have

Acceleration = 10m/s ÷ 20s

Acceleration = 10/20 m/s²

Acceleration = ½m/s²

Acceleration = 0.5m/s²

Hence, the acceleration of the train is 0.5m/s²

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. We assume, that the number 260 is 100% - because it's the output value of the task.

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4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

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260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

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