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?
In how many seconds will the projectile first reach 120 feet in height?
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f(t)=−6t2+51tdf(t)dt=−12t+51=0t=4.25
hmax=−6⋅4.252+51⋅4.25
hmax=108.375 feet
The projectile cannot reach a height of 120 feet.
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120 = -6t^2 + 51 t
-6t^2 + 51 t -120 = 0 Quadratic formula show t = imaginary numbers ..... no answer ...as asinus found !