in such a way that its height, h meters after t seconds is given by the...

Question

Question

math algebra

Answer 1

Answer #1

Height is given as:

h(t) = -4.9t^2+28.7t +4.2

So when rocket will hnit the ground it's height is equal to zero.

So we can write

-4.9t^2+28.7t - 4.2 = 0

0.7t^2-4.1t - 0.6 = 0

0.7t^2-4.2t + 0.1t - 0.6 = 0

0.7t(t-6)+ 0.1(t - 6) = 0

(t-6)( 0.7t +0.1)= 0

So t - 6 = 0 or 0.7t +0.1 = 0

So t = 6 or $t = -\frac{1}{7}$

But t can't be negative.

So t = 6

So we can say 6 sec rocket will hit the ground.

Answer 2

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