A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right) = - 4.9{t^2} + 6t + 50h ( t ) = − 4.9 t 2 + 6 t + 50, where h(t) is the height of the bird at time t.

How long does the worm have before he is eaten? Round to the nearest tenth of a second.

Group of answer choices

1.9 seconds

3.9 seconds

12 seconds

4.9 seconds

Given:

The height of the bird at time t is given by the function

We need to determine the time it takes the worm to be eaten by the bird.

Time taken:

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

Switch sides, we get;

Let us solve the equation using the quadratic formula.

Thus, we get;

Simplifying, we get;

The values of t are given by

  and  

   and  

   and  

Since, the value of t cannot be negative, then

Thus, the time taken by the bird to eat the worm is seconds.

Hence, Option B is the correct answer.

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step-by-step explanation: