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Please help me with this math problem. .Lrw I; 4. (1 point) An approximately spherical meteorite with a radius of 6 meters enters the atmosphere
Please help me with this math problem.
.Lrw I; 4. (1 point) An approximately spherical meteorite with a radius of 6 meters enters the atmosphere and explodes, generating a spherical pressure wave that expands at a rate of 11.3 meters per second. We are given the following formulation: I Let t represent the time since the meteorite exploded (in seconds). I Let 5" represent the radius of the spherical pressure wave (in meters). ( Let V represent the volume of the spherical pressure wave (in Cubic meters). (a) Write the expressions for 1(3), V(r), and V(t). It may help to think of this in three steps: 1. Write an expression for the function r(t). Note that the radius increases linearly with respect to time, so your function should be of the form r(t) = mt + b, where m is the constant rate of change and b is the initial radius. 2. Write an expression for the function V(r]. Note that the pressure wave is spherical, so you just need to know the volume of a sphere in terms of the radius to write this function. 3. Compose the two functions to obtain V(t), the volume of the spherical pressure wave at time t, that is, V(t) = V(r(t))Step by Step Solution
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