A train moving with a velocity of 87.1 km/hour North, increases its speed with a uniform acceleration of 0.250 m/s2 North until it reaches a velocity of 160.0 km/hour North. What distance did the train travel while it was increasing its velocity, in units of meters?

Question

Cierra Golden

Physics

21 April, 03:23

A train moving with a velocity of 87.1 km/hour North, increases its speed with a uniform acceleration of 0.250 m/s2 North until it reaches a velocity of 160.0 km/hour North. What distance did the train travel while it was increasing its velocity, in units of meters?

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Answers (1)

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Jacoby · Answer 1

2780 meters

Explanation:

First, convert km/hr to m/s.

87.1 km/hr * (1000 m / km) * (1 hr / 3600 s) = 24.2 m/s

160.0 km/hr * (1000 m / km) * (1 hr / 3600 s) = 44.4 m/s

Given:

v₀ = 24.2 m/s

v = 44.4 m/s

a = 0.250 m/s²

Find: x

v² = v₀² + 2a (x - x₀)

(44.4 m/s) ² = (24.2 m/s) ² + 2 (0.250 m/s²) (x - 0 m)

x = 2780 m