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The equation y = -6t^2 + 51t describes the height (in feet) of a projectile launched from the surface of Mars at 51 feet per second. In how many seconds will the projectile first reach 120 feet in height?

 Oct 4, 2021
 #1
avatar+15069 
+2

In how many seconds will the projectile first reach 120 feet in height?

 

Hello Guest!

 

f(t)=6t2+51tdf(t)dt=12t+51=0t=4.25

hmax=64.252+514.25

hmax=108.375 feet

 

The projectile cannot reach a height of 120 feet.

laugh  !

 Oct 4, 2021
 #2
avatar+37167 
+1

120 = -6t^2 + 51 t

 

-6t^2 + 51 t -120 = 0    Quadratic formula show t = imaginary numbers ..... no answer ...as asinus found !

 Oct 4, 2021

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