Question

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?

Answer 1

2780 meters

Step-by-step 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