<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
Answer:
767.76 mL
Step-by-step explanation:
625.05 + `142.71 = 767.76
Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x
Answer:
Y= -1/2x + 1
Step-by-step explanation:
The equation for a line is Y=Mx+B
M stands for the Slope.
-Slope is rise/run. So, for this graph the line "rises" 1 point and "runs" left 2 points until meeting the line again. This slope is negative because it "runs" to the left.
B stands for the Y-Intercept
-The Y-intercept is the point at which the line crosses the Y axis. For this example, the line crosses the Y-intercept at (0,1).
Answer:
AB = 20 metres
BC = 60 metres
Step-by-step explanation:
Let AB = x
Then, BC = 3x
<u><em>Condition:</em></u>
=> x+3x = 80
=> 4x = 80
Dividing both sides by 4
=> x = 20
So,
AB = 20 metres
BC = 3(20)
BC = 60 metres
