Question

Are the equations of motion applicable to bodies projected vertically up with any velocity, say $8km{s}^{-1}$, for determining the maximum height? And why?

Answer 1

One of the equations of motion states that - $v^2=u^2-2gs$

where v = final velocity = 0m/s

u= Initial velocity = 8km/s = 8000 m$s^{-1}$

g=gravitational acceleration = 9.8m$s^{-2}$

s=Distance traveled by the body vertically up

Plugging in the values, we get

$0^2={\left(8000\right)}^2-2\left(9.8\right)s=64000000-19.6s$

or, s = $\frac{64000000}{19.6}=32653.06m=32.653km$

Thus, by the above stated relation, equations of motion is applicable to bodies projected vertically up with any velocity for determining maximum height.