Exercises

Answer the following word problem

1. A tow truck has just attached a car to the back of its truck. As the truck pulls into traffic and reaches the speed of 14 m/s, the car breaks free and begins to roll down a hill accelerating at 4.9 m/s*s (away from the garage). Find the equation for the position of the car compared to the garage (i.e. x=0 at the garage), if the truck was moving in the positive direction (towards the garage) and the initial position of the car was 2000 meters from the garage. Find the distance the car is from the garage using the equation you’ve found after 30 seconds.

   a:=diff(z(t), t$2)
eq1:=a0=a
eq2:=int(a0,t)=int(a,t)
eq3:=int(lhs(eq2)+C1, t)=int(rhs(eq2), t)
eq4:=lhs(eq3)+C2=rhs(eq3)
lefteq4:= lhs(eq4)
sol:= subs(C1= 14, C2= -2000, a0= -4.9, lefteq4)
subs(t=30, sol)