Cars A and B are travelling in the same direction along a straight road. The time t is in seconds. At t = 0, car A is at rest. It accelerates at 3 ms-2 for 0⩽t⩽10

and then travels at a constant speed.

Car B travels at 15 ms-1 for

0⩽t⩽30 and then accelerates at 1 ms-2 until it reaches a

speed of 25 ms-1, after which it continues at this constant speed.

(i) Draw v-t diagrams for the motion of car A and of car B, where v is the speed in ms-1 and 0⩽t⩽80

(ii) Show that, in the first 40 seconds, car A travels 400 m further than car B.

(iii) Given that car A is 500 m behind car B at t = 0, at what value of t does car A catch up with car B?

If anyone's willing to take the time to help me with this question, I'd be super grateful. I'm really stuck on this right now.​

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Given the system of equations presented here: 2x + 4y = 14 4x + y = 20 which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? multiply the second equation by â’4 to get â’16x â’ 4y = â’80 multiply the second equation by â’1 to get â’4x â’ y = â’20 multiply the first equation by 2 to get 4x + 8y = 28 multiply the first equation by â’1 to get â’2x â’ 4y = â’14

Select all of the following expressions that are equal to 2.5.