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The formula to determine the height of the rocket above the ground at any time during the rocket's flight is given by: h = 119t - 7t2 where t = the time, in seconds, that has elapsed since the rocket was launched, and h = the height, in meters, of the rocket above the ground at time t. The value of h was 0 when the rocket hit the ground. How many seconds after the rocket was launched did it hit the ground?

The formula to determine the height of the rocket above the ground at any time during the rocket's flight is given by: h = 119t - 7t2 where t = the time, in seconds, that has elapsed since the rocket was launched, and h = the height, in meters, of the rocket above the ground at time t. The value of h was 0 when the rocket hit the ground. How many seconds after the rocket was launched did it hit the ground? Correct Answer 17

The correct answer is option 1, i.e. 17.

Given, 

The formula for the height of the rocket above the ground at any time during the rocket's flight: h = 119t - 7t2

where, t = time in seconds

h = height in meters

Now, it is given that value of h, is 0 when the rocket hit the ground so,

0 = 119t - 7t2

0 = 7t(t - 17)

The values of t are 0 and 17.

So, the rocket hit the ground after 17 seconds of its launch.

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