contestada

a basketball player can leap upward .65m how long does the basketball player remain in the air use 9.81m/s²​

Respuesta :

At the player's maximum height, their velocity is 0. Recall that

[tex]{v_f}^2-{v_i}^2=2a\Delta y[/tex]

which tells us the player's initial velocity [tex]v_i[/tex] is

[tex]0^2-{v_i}^2=-2g(0.65\,\mathrm m)\implies v_i=3.6\dfrac{\rm m}{\rm s}[/tex]

The player's height at time [tex]t[/tex] is given by

[tex]y=v_it-\dfrac g2t^2[/tex]

so we find their airtime to be

[tex]0.65\,\mathrm m=\left(3.6\dfrac{\rm m}{\rm s}\right)t-\dfrac g2t^2\implies t=0.36\,\mathrm s[/tex]