Answer:
[tex]H_t= 725.8[/tex]
Explanation:
From the question we are told that:
Acceleration of Dr Evil [tex]a=7.0m/s^2[/tex]
Struggle time [tex]t=11s[/tex]
Generally the Newton's equation for Height traveled is mathematically given by
[tex]s = ut +\frac{1}{2} at2[/tex]
[tex]s = 7*121/2[/tex]
[tex]s= 423.25[/tex]
Generally the Newton's equation for Velocity at given time is mathematically given by
[tex]v= u+at \\ v= 0+7*11[/tex]
[tex]v= 77 m/s[/tex]
Generally the Newton's equation for Total Height [tex]H_t[/tex] is mathematically given by
[tex]v^2= u2+2as\\ v^2=772+2x(-9.8)s \\ s = 5929/19.6[/tex]
[tex]s=302.5m[/tex]
Therefore the total height is given as
[tex]H_t=423.3+302.5[/tex]
[tex]H_t= 725.8[/tex]