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A person riding a bike has an initial velocity of 10 meters per second and accelerates at a constant rate of 2 meters per second^2. After 5 seconds, the person would travel ___ meters.

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Eduard22sly

After 5 seconds, the person would have travel 75 m

What is acceleration?

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

  • a is the acceleration
  • v is the final velocity
  • u is the initial velocity
  • t is the time

How to determine the final velocity

We'll begin by obtaining the final velocity of the person. This can be obtained as follow:

  • Initial velocity (u) = 10 m/s
  • Acceleration (a) = 2 m/s²
  • Time (t) = 5 s
  • Final velocity (v) = ?

a = (v – u) / t

2 = (v – 10) / 5

Cross multiply

v – 10 = 2 × 5

v – 10 = 10

Collect like terms

v = 10 + 10

v = 20 m/s

How to determine the distance travelled

The distance travelled can be obtained as follow:

  • Initial velocity (u) = 10 m/s
  • Final velocity (v) = 20 m/s
  • Acceleration (a) = 2 m/s²
  • Distance (s) = ?

v² = u² + 2as

Collect like terms

2as = v² - u²

Divide both sides by 2a

s = (v² - u²) / 2a

s = (20² - 10²) / (2 × 2)

s = 75 m

Thus, the distance travelled by the person is 75 m

Learn more about velocity:

https://brainly.com/question/3411682

Learn more about acceleration:

https://brainly.com/question/491732

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