The table shows the position of a motorcyclist after accelerating from rest. t (seconds) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-09-29T19:29:22+02:00

Instantaneous velocity represents the velocity at a particular point.

The instantaneous velocity at t = 3 is 7.7 ft/s

The table is given as:

[tex]\left[\begin{array}{cccccccc}t&0&1&2&3&4&5&6\\s&0&4.9&10.7&23.2&50.4&109.4&237.8\end{array}\right][/tex]

To calculate the instantaneous velocity at [tex]t = 0[/tex]

We get the distance at [tex]t = 3[/tex]

At [tex]t = 3[/tex], the distance (s) is:

[tex]s = 23.2[/tex]

So, the instantaneous velocity (v) is:

[tex]v = \frac st[/tex]

This gives

[tex]v = \frac{23.2}3[/tex]

Divide 23.2 by 3

[tex]v = 7.7[/tex]

Hence, the instantaneous velocity at t = 3 is 7.7 ft/s

See attachment for the required graph

Read more about instantaneous velocity at:

https://brainly.com/question/13190516