1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12 for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?

Show your work or strategy:

When does the car reach its minimum speed?

What is the minimum speed?

At t=2s the car  reach its minimum speed

Minimum speed=8m/s

Step-by-step explanation:

We are given that velocity of car

0<t<4

Differentiate w.r.t t

The velocity is minimum at t=2 s

Substitute t=2

Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

step-by-step explanation:

a and d