For the position function s (t) = 24 / t+1, complete the following table with th
ID: 2832142 • Letter: F
Question
For the position function s (t) = 24 / t+1, complete the following table with the appropiate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0.
Time interval [0,1] [0, 0.5] [0,0.1] [0, 0.01] [0, 0.001]
Average velocity ? ? ? ? ?
Complete the following table.
Time interval [0,1] [0,0.5] [0,0.1] [0, 0.01] [0, 0.001]
Average velocity ? ? ? ? ?
Explanation / Answer
position function s (t) = 24 / t+1
Velocity = -24 / (t+1)2
1- [0 , 1] = 1/2 * [-24 + ( -6 )] = -15
2 - [0,0.5] = 1/2 * [-24 +(-32/3)] = -52 / 3 = - 17.333
3 - [0, 0.1 ] = 1/2 * [-24 +( -19.83)] = -21.91
4- [0, 0.01] = 1/2 *[-24 - 23.52] = -23.76
5 - 1/2 [-24 - 23.95] = -23.97