Question

In: Advanced Math

The height of a projectile at time t is represented by the function h(t) = −4.9t 2 + 18t + 40. For the following exercises, identify whether the statement represents an exponential function. Explain.

For the following exercises, identify whether the statement represents an exponential function. Explain.

The height of a projectile at time t is represented by the function h(t) = −4.9t 2 + 18t + 40.

Solutions

Expert Solution

Consider that that height of a projectile at time t is represents by the function h(t) = -4.9t2 + 18t + 40, whether the statement represents the exponential or not is determined as follows:

 

Exponential function is a function whose value is a constant raised to the power of the argument, especially the function where the constant is.

 

The function is represented as h(t) = -4.9t2 + 18t + 40, the function shows a linear form and the height of the projectile is decreased during the time t.

 

Hence, the statement is not exponential because the height of the projectile decreases by a time, so the statement represents a linear function.


Hence, the statement is not exponential because the height of the projectile decreases by a time, so the statement represents a linear function.

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