Which function represents exponential decay

1 answer:

4 0

The formula for exponential growth and decay is: In this function, a symbolizes the origin value, such as the starting population or the beginning dosage level. The variable b represents the growth or decay factor. If b > 1, the function signifies exponential growth.

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3. A rocket is launched vertically from the ground with an initial velocity of 64 ft / sec . ( a ) Write a quadratic function h

lys-0071 [83]

Answer:

See below.

Step-by-step explanation:

The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.

The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.

(a) h(t) = 64t - 1/2*32 t^2

h(t) = 64t - 16t^2.

(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).

The y-axis is the height of the rocket and the x-axis gives the time.