The braking distance D (v) (in meters) for a certain car moving at velocity v (in meters/second) is given by D (v)= 26 The car's velocity B (t) (in meters/second) i seconds after starting is given by B (t)=3t. Write a formula for the braking distance S'(t) (in meters) after t seconds. It is not necessary to simplify. s(t)=0 ㅁㅁ Л 18) ?

Suppose you are going hiking and over the course of your trip, your velocity at time t hours is given by the function v(t) = square root of (4 − (t − 2)2) kilometers per hour. The trip takes you 4 hours. How many kilometers is the hike?

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

B.