Question #69586

I'm taking a trip aboard the Shanghai Transrapid Train.
The train maintains its maximum commercial speed of 430km/h along a straight.
I position myself at the centre of my carriage and jump straight up at 2ms-1.
How many horizontal meters am I displaced along the aisle before landing?

Displacement towards the front of the train is negative and towards the back of the train is positive.
1

Expert's answer

2017-08-04T07:39:00-0400

Answer on Question #69586-Physics / Other

I'm taking a trip aboard the Shanghai Transrapid Train. The train maintains its maximum commercial speed of v=430km/hv = 430 \, \text{km/h} along a straight. I position myself at the centre of my carriage and jump straight up at u=2ms1u = 2 \, \text{ms}^{-1}.

How many horizontal meters am I displaced along the aisle before landing?

Solution

The time between jump and landing is


t=2ugt = \frac{2u}{g}


So, distance with respect to the ground is


S=vt=430×10003600×2×29.8=46.2m.S = vt = 430 \times \frac{1000}{3600} \times \frac{2 \times 2}{9.8} = 46.2 \, \text{m}.


The displacement along the aisle is zero.

Answer: zero.

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