<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
Ratio of red roses to yellow roses as given in the question = 4:6
Total number of roses in the question = 50
Let us assume that the common ratio is = x
Then
4x + 5x = 50
10x = 50
x = 50/10
= 5
Then
The number of yellow roses = 6 * 5
= 30
So there are 30 yellow roses among the total of 50 roses. I hope the procedure is simple enough for you to understand. You can use this procedure for solving similar type of problems in future. I hope this has helped you.
Answer:
to find the area of a parallelogram you do base X height
