Railguns on the roll

Classical Mechanics Level 2

A railgun is a powerful weapon which is used in tanks. It shoots with a velocity of $750\text{ m/s}$ . If the height of the tank is $3\text{ m}$ , what is the maximum height (in metres) above the ground to which a railgun can shoot?

Details and assumptions :-

Assume that the railgun can shoot at any angle to the horizontal.
Neglect the air resistance
Take the acceleration due to gravity(g) as $10{\text{ m/s}}^2$ .

The answer is 28128.

1 solution

Ashish Menon
Aug 17, 2016

The formula for maximum height attained by a projectile is $\dfrac{u^2\sin^2\theta}{2g}$ which is maximum at $\theta = {90}^°$ .
Thus, the maximum height is $\dfrac{u^2}{2g} = \dfrac{750×750}{2×10} = 28125$ .
But, the tank itself is $3\text{ m}$ high, so the answer is $28125+3 = \color{#3D99F6}{\boxed{28128}}$ .

The picture you took is from the game Tanki online , which i used to play a year ago ... i feel so nostalgic after solving this question ... +1

Sabhrant Sachan - 4 years, 10 months ago

Wow you played it too. I play it sometimes now too (Ashish12345) can you give your nickname?

Ashish Menon - 4 years, 10 months ago

I have three accounts 1) " thunderrsam " 2)" thunderrsam_shaft" 3)"Samthunder"

Sabhrant Sachan - 4 years, 10 months ago

@Sabhrant Sachan – Lol I have three too, Ashish12345(main), Adarshautobot(brother) and ashiq_awesome(combine)

Ashish Menon - 4 years, 10 months ago

Railguns on the roll

The answer is 28128.

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