Answer:
Step-by-step explanation:
Given that at time t, the position of a body moving along the s-axis is sequalsnegative t cubed plus 15 t squared minus 72 t m
i.e. 
Velocity is nothing but s'(t) = derivative of s
and acceleration is s"(t) = derivative of v(t)

a) v(t) =0 when t = 4 or 6
b) 
a(t) =0 when t =5
c) Distance travelled by the body from 0 to 5 would be

i.e. 110 miles (distance cannot be negative)
Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
About 7:45
Step-by-step explanation:
7:40 OR 7:45 because sometimes the traffic light takes a while but 7:45 is best.
Answer:
140 mile
Step-by-step explanation:

While x is the speed of the second train.