A small toy rocket is launched from a 18-foot pad. The height (h, in feet) of the rocket t seconds after taking off is given by the formula
H=3t^2+3t+18
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Toy rocket will hit the ground after 3 Secs if height H= -3t²+3t+18
Step-by-step explanation:
How long will it take the rocket to hit the ground
H = 0 for hitting ground
=> 3t² + 3t + 18 = 0
=> t² + t + 6 = 0
=> t = (- 1 ± √1 -24)/2 ( no real Values)
Hence rocket will not hot ground
T H
0 18
1 24
2 36
3 54
Rocket will not hot ground
Correct Question Should be
H= -3t²+3t+18
=> -3t²+3t+18 = 0
=> t² - t - 6 = 0
=> t² - 3t + 2t - 6 =0
=>t(t - 3) + 2(t - 3) = 0
=> (t +2)(t - 3) = 0
t = 3
after 3 Secs Toy rocket will hit the ground
T H
0 18
1 18
2 12
3 0
Toy rocket will hit the ground after 3 Secs
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