MATHEMATICS HIGH SCHOOL

A rock is dropped from the edge of a cliff. The equation below gives the distance, d, the rock travels in t seconds.d=5t^2 + 5t
How long does it take for the rock to travel 30 meters?
A. 3 seconds
B.5 seconds
C.6 seconds
D.2 seconds
pls !! help !!!

Answers

Answer 1
Answer:

Final answer:

To find the time it takes for the rock to travel 30 meters, we solve the given quadratic equation and obtain the value of t. The rock takes 3 seconds to travel 30 meters.

Explanation:

To find out how long it takes for the rock to travel 30 meters, we need to solve the equation d = 5t^2 + 5t, where d is the distance and t is the time in seconds. We'll set d equal to 30 and solve for t:

30 = 5t^2 + 5t

Now, we can rearrange the equation to form a quadratic equation:

5t^2 + 5t - 30 = 0

Next, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. By factoring, we get:

(t - 3)(5t + 10) = 0

From this, we can see that there are two possible solutions for t: t = 3 and t = -2. However, since time cannot be negative in this context, we discard the negative solution. Therefore, the rock takes 3 seconds to travel 30 meters.

Learn more about Rock falling from cliff here:

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Answer 2
Answer: 5 seconds should be the answer

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