Sled acceleration

Question

A sled accelerates down a hill then slows down after it reaches a flat portion of the ground. The speed of the sled s(t) in feet per second at time t is given by the piecewise function:

 

s(t)={4t for 0 less than or equal to t is less than or equal to 10

 

and s(t) = {25/(t-10) for 10 less than t is less than of equal to 35.

 

Determine the speed of the sled after 5 seconds, 10 seconds, and 15 seconds. 

Answer 1

(a)  s(t) = 4t for 0 ≤ t ≤ 10

(b)  s(t) = 25/(t - 10) for 10 < t ≤ 35

 

At t = 5, use equation (a).

s(t) = 4(5) = ?

 

At t = 10, use equation (a).

s(10) = 4(10) = ?

 

At t = 15, use equation (b).

s(15) = 25/[(15) - 10] = ?

 

Can you finish from here?