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the train is travelling at 15 m/s. It accelerates at 3 m/s² for 20 seconds. How far does the train travel in this time?

2 Answers

3 votes

The right answer is "900 m"

Answer explanation:

Use the equation: acceleration (a) = change in velocity (v – u) / time taken (t)

Rearrange to solve for the final velocity (v):

v = u + at

Substitute in values and solve:

v = 15 m/s + 3 m/s2 × 20 s = 75 m/s

Rearrange the equation for uniform acceleration (v2 – u2 = 2as) to solve for distance (s):

s = (v2 – u2) / 2a

s = ((75 m/s)2 – (15 m/s)2) / (2 × 3 m/s2)

s = (5,625 m2/s2 – 225 m2/s2) / 6 m/s2

s = 5400 m2/s2 / 6 m/s2

s = 900 m

Hope it helps ✨✨

User Gabriel Martinusso
by
4.8k points
5 votes

The answer is 900m

Hope this helps

User Rohaq
by
5.0k points