Answer:
Step-by-step explanation:
Eek! Let's give this a go. Things we know:
acceleration of Bond in free fall is -9.8 m/s/s
velocity of the truck is 25 m/s
displacement Bond will travel when he jumps is -10 m
What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.
Our displacement equation is
Δx = v₀t + 1/2at²
Filling in we have
![-10=25t+\frac{1}{2}(-9.8)t^2](https://tex.z-dn.net/?f=-10%3D25t%2B%5Cfrac%7B1%7D%7B2%7D%28-9.8%29t%5E2)
Simplifying we get
![-10=25t-4.9t^2](https://tex.z-dn.net/?f=-10%3D25t-4.9t%5E2)
This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.
Good luck with this!
Cheers!
Answer:
Kay sold 67; Allen sold 50
Step-by-step explanation:
Let "a" represent the number of phones that Allen sold.
a + (a+17) = 117 . . . equation used to find the answer
2a = 100 . . . . . . . . subtract 17, collect terms
a = 50 . . . . . . . . . . divide by 2; the number Allen sold
a+17 = 67 . . . . . . . . Kay sold 17 more than Allen
Answer:
y - 2 = 3(x + 1)
y - 2 = 3x + 3
y = 3x + 5
Step-by-step explanation:
The identity property. the same applies for n*1=n.
Answer: 56
Step-by-step explanation:
Given : Number of red marbles = 5
Number of green marbles = 3
Number of yellow marbles = 3
Number of orange marbles = 3
Number of red and green marbles = 5+3=8
Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-
![^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times7\times6\times5!}{5!3!}=56](https://tex.z-dn.net/?f=%5E8C_5%3D%5Cdfrac%7B8%21%7D%7B5%21%288-5%29%21%7D%3D%5Cdfrac%7B8%5Ctimes7%5Ctimes6%5Ctimes5%21%7D%7B5%213%21%7D%3D56)
Hence, the number of sets of five marbles in which all of them red or green=56