<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:
Step-by-step explanation:
10 x = x - 3 Subtract x from both sides
10x - x = - 3 Combine like terms on the left
9x = - 3 Divide both sides by 9
9x/9 = -3/9
x = - 1/3 or x = - 0.333333
4b + 6 = 2 - b + 4
Combine like terms on the right side:
4b + 6 = -b + 6
Subtract 6 from both sides:
4b = -b
Add 1b to both sides:
5b = 0
Divide both sides by 5:
B = 0
Answer:
3.75 hours
Step-by-step explanation:
Given data
DIstance driven from Gary, Indiana to Indianapolis= 160 mile
Time taken= 2 1/2 hours or 2.5 hours
Speed= distance/time
Speed= 160/2.5
Speed= 64 miles per hours
We want to find the time it will take to drive 240 miles at the same speed
Time= distance/speed
Time= 240/64
Time= 3.75 hours
