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 angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

X-intercept=-5 y-intercept=2 the equation of the line is

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.