If an arrow is shot upward on Mars with a speed of 58 m/s, its height in meters t seconds later is given by y = 58t − 1.86t2. (Round your answers to two decimal places.)
(b) Estimate the speed when t = 1.

Respuesta :

The speed at t = 1 second is 54.28 meters per second.

How to estimate the speed when t = 1?

Here we know that the speed of the arrow is 58 m/s, and the height is given by the function:

y = 58*t - 1.86*t^2

If we want to find the speed, we need to differentiate with respect to t, so we will get:

v(t) = 58 - 2*1.86*t

v(t) = 58 - 3.72*t

To get the speed when t = 1, we just need to evaluate the function v(t) in t = 1, we will get:

v(1)=  58 - 3.72*1 = 54.28

This means that the speed at t = 1 second is 54.28 meters per second.

If you want to learn more about speed:

https://brainly.com/question/4931057

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