in a bit escape from your alien captors a hurl your paperweight straight up towards the door switch on a spaceship above you if the switch is 25m above you how fast so paperweight needs to leave your hand

Respuesta :

Height to be reached above is given as

H = 25 m

let say initial speed is "v"

the final speed that will reach must be ZERO

now we will use kinematics

[tex]v_f^2 - v_i^2 = 2 a d[/tex]

here we know that

[tex]v_f = 0[/tex]

[tex]v_i = ?[/tex]

[tex]a = -9.81 m/s^2[/tex]

[tex]d = 25 m[/tex]

now from above equation we will have

[tex]0 - v^2 = 2(-9.81)(25)[/tex]

[tex]v^2 = 490.5 m^2/s^2[/tex]

[tex]v = 22.15 m/s[/tex]

so the speed must be 22.15 m/s