Question

Is initial velocity when t=0 or t=1? (t is time)

Answer 1

typically 0

Answer 2

usually 0. Depends on the context when you want the initial time be at

Answer 3

typically? so does that mean it can also be t=1 sometimes?

Answer 4

Depends on context

Answer 5

This is my problem and I want to find the particular solution.

A particle with an initial velocity of 12 m/s has its acceleration modeled by the equation a(t) = t 2 + 3.
Find the particle’s velocity at t = 2.

Answer 6

if i consider the time in the interval [1,10], then my initial time is at t = 1

Answer 7

I think I should first find the antiderivative of a(t), which is the general solution, then find the particular solution by using initial velocity = 12 m/s

Answer 8

initial velocity is asking for the beginning velocity, but it can be stated to find the initial velocity at t=1

Answer 9

In the problem I am given, it doesn't state the interval :(

Answer 10

But when not explicitly stated, t=0 is the convention

Answer 11

the initial velocity in this case is at t = 0.

Answer 12

Okay I will stick with t=0 then!

Answer 13

So odds are t=0 is what needs to be plugged in :)

Answer 14

Got it :) Thanks you guys!