Alocomotive is accelerating at 1.6 m/s2. it passes through a 20.0-m-wide crossing in a time of 2.4 s. after the locomotive leaves the crossing, how much time is required until its speed reaches 32 m/s?

It required about 14 seconds after the locomotive leaves the crossing until its speed reaches 32 m/s.

Acceleration is rate of change of velocity.

a = acceleration (m / s²)v = final velocity (m / s)

u = initial velocity (m / s)

t = time taken (s)

d = distance (m)

Let us now tackle the problem!

Given:

a = 1.6 m/s²

d = 20.0 m

t₁ = 2.4 s

v₂ = 32 m/s

Unknown:

Δt = ?

Solution:

Initially, we calculate the initial speed of the locomotive when entering the crossing.

Next we calculate the total time needed for the locomotive to reach 32 m/s

Finally, the time needed for the locomotive to reach a speed of 32 m/s after leaving the crossing is:

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Sperm , Whale , Travel

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