Question

given s(t) = t² + 3t, where s(t) is in feet and t is in seconds, find each of the following.
a) v(t)
b) a(t)
c) the velocity and acceleration when t = 2 sec

a) v(t) = 2t + 3

b) a(t) = 2

c) when t = 2 sec, the velocity is
(simplify your answer.)

Explanation:

Step1: Substitute t = 2 into v(t)

We know that \( v(t) = 2t + 3 \). Substitute \( t = 2 \) into this formula:
\( v(2) = 2\times2 + 3 \)

Step2: Calculate the value

First, calculate \( 2\times2 = 4 \), then add 3: \( 4 + 3 = 7 \)

Answer:

7