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Algebra
Pregunta

[10] 3. If a rock is thrown upward on the planet M...

[10] 3. If a rock is thrown upward on the planet Mars with a velocity of \( 10 m / s \) , its height (in meters) after \( t \) seconds is given by 

\( H = 10 t - 1.86 t ^ { 2 } \) 

a) Find the velocity of the rock after \( 1 \) second b) Find the velocity of the rock when \( t = a \) c) When will the rock hit the surface of the planet? d) With what velocity will the rock hit the surface? 

Answer

H'(t) = v(t) = 10 - 3.72t  , 

a) v(1) = 10 - 3.72 = 6.28  , b) v(a) = 10 - 3.72a  , c) rock will hit when H(t) = 0  , 

t(10 - 1.86t) = 0  , t = 0 , 5.37  , hence at t = 5.37 s  , rock will hit the earth  , 

d) v(5.37) = 10 m/s

Solución
View full explanation on CameraMath App.