Respuesta :
The vertical component of its initial velocity is
[tex]v_{0y}=\|\mathbf v_0\|\sin45^\circ=35\,\dfrac{\mathrm m}{\mathrm s}[/tex]
Its height above the ground at time [tex]t[/tex] is given by
[tex]y=v_{0y}t-\dfrac g2t^2[/tex]
where [tex]g=9.8\,\frac{\mathrm m}{\mathrm s}[/tex] is the acceleration due to gravity. The ball reaches the ground when [tex]y=0[/tex], so for [tex]t>0[/tex] this occurs at
[tex]0\,\mathrm m=\left(35\,\dfrac{\mathrm m}{\mathrm s}\right)t-\dfrac12\left(9.8\,\dfrac{\mathrm m}{\mathrm s^2}\right)t^2[/tex]
[tex]\implies t=7.1\,\mathrm s[/tex]
which makes B the most likely to be correct.
Answer:
[tex]7.21 sec[/tex]
Explanation:
In this question the ball is doing projectile motion.
Given:
Initial velocity, [tex]v_i=50\ m/s.[/tex]
Angle from horizon, [tex]\theta=45^o.[/tex]
Time taken to reach the ground or time in which it was on air is given by:
[tex]T=\dfrac{2\times v\times sin\theta}{g}[/tex]
where g is acceleration due to gravity= [tex]9.8 \ m/s^2[/tex].
Putting values in above equation we get.
[tex]T=\dfrac{2\times 50\times sin45^o}{9.8}=7.21 \ sec.[/tex]