Really need quadratic equation? a model rocket is launched with an initial upward velocity of 30 m/s. the rockets height h ( in meters) after t seconds is givenby the following. h=30t-5t^2 find all values of t for which the rockets height is 10 meters. round your answers to the nearest hundredth

t = 0.35, t = 5.65

Step-by-step explanation:

You are given h = 30t - 5t^2. Put this in standard form order (ax^2 + bx + c) by switching the two terms.

h = -5t^2 + 30t

Now you want to find all the values of t for which the rocket's height is 10 meters, so your equation will be equal to 10 instead of h, because 10 is the height you are solving for.

10 = -5t^2 + 30t

Make the entire equation equal to 0 by subtracting 10 from both sides.

0 = -5t^2 + 30t - 10

To solve this quadratic equation, the easiest way would be to use the quadratic formula:

Identify your a, b, and c values in the standard form equation (a = -5, b = 30, c = -10) and substitute these values into the quadratic formula.

We have (-30 ± sqrt 700)/-10.

Use a calculator to input the two solutions and solve for them; (-30 + sqrt 700)/-10 and (-30 - sqrt 700)/-10.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.