if the car continues on but increases its speed (accelerates) at a constant rate of 2 miles per hour each hour, at what speed will it be traveling after 2 hours?
Posted on May 13, 2017, by Jayden2002 
Posted on May 14, 2017, by
Noam1445

Hi Jayden. I am going to restate your question as I understood it from your post and then answer it correct me if I misunderstood the setup.
A car travels with some initial speed, call it U miles per hour, and has a constant acceleration of 2 miles per hour squared. What is the car's speed after 2 hour?
There are two ways to approach this: One is less formal and uses a simple argument, and the other uses the 'suvat' equations.
The first method: If you start with a speed U and your acceleration is 2 miles per hour each hour, that means that after 1 hour, your speed is U+2. One hour later, the same argument applies, so now your speed is U+4.
Second method: Since the acceleration is constant, we can use 'suvat' equation: final speed= initial speed + acceleration*time, or, V= U+at. substitute in a=2 and t=2, we get V=U+4.
let me know if you have any questions.