To find the values of x, v, and s after 2 seconds, we can substitute t=2 into the equation x=4-3t.
x=4-3(2)x=4-6x=-2
Therefore, x= -2 after 2 seconds.
To find v, we can differentiate the equation x=4-3t with respect to t.
v=dx/dt=-3
Therefore, v=-3 after 2 seconds.
To find s, we need to integrate v= -3 with respect to t.
s=∫v dt = ∫(-3) dt = -3t + C
To find the constant term C, we can use the initial condition x(0) = x0.
x0 = 4 - 3(0) = 4
Therefore, when t=0, x=4. Substituting this into the equation we get:
4 = -3(0) + CC=4
So, s=-3t + 4
After 2 seconds:
s=-3(2) + 4s=-6 + 4s=-2
Therefore, the values of x, v, and s after 2 seconds are:
x = -2v = -3s = -2
To find the values of x, v, and s after 2 seconds, we can substitute t=2 into the equation x=4-3t.
x=4-3(2)
x=4-6
x=-2
Therefore, x= -2 after 2 seconds.
To find v, we can differentiate the equation x=4-3t with respect to t.
v=dx/dt=-3
Therefore, v=-3 after 2 seconds.
To find s, we need to integrate v= -3 with respect to t.
s=∫v dt = ∫(-3) dt = -3t + C
To find the constant term C, we can use the initial condition x(0) = x0.
x0 = 4 - 3(0) = 4
Therefore, when t=0, x=4. Substituting this into the equation we get:
4 = -3(0) + C
C=4
So, s=-3t + 4
After 2 seconds:
s=-3(2) + 4
s=-6 + 4
s=-2
Therefore, the values of x, v, and s after 2 seconds are:
x = -2
v = -3
s = -2