Acceleration The maker of an automobile advertises that it takes 13 seconds to accelerate from 25 kilometers per hour to 80 kilometers per hour. Assume the acceleration is constant.
(a) Find the acceleration in meters per second per seconds.
(b) Find the distance the car travels during the 13 seconds.
Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied.
(a) How far has the car moved when its speed has been reduced to 30 miles per hour?
(b) How far has the car moved when its speed has been reduced to 15 miles per hour?
(c) Draw the real number line from 0 to $132 .$ Plot the points found in parts (a) and (b). What can you conclude?
Acceleration At the instant the traffic light turns green, a car that has been waiting at an intersection starts with a constant acceleration of 6 feet per second per second. At the same instant, a truck traveling with a constant velocity of 30 feet per second passes the car.
(a) How far beyond its starting point will the car pass the truck?
(b) How fast will the car be traveling when it passes the truck?
67 We're looking of velocity function be of TV equal one on this we're which means the glossies of prime. So it's already at every prime To get for position function, we would have to take the integral. So we're gonna call that except Pete. And that is really t to negative 1/2. So what I integrate that when you grow up, I'm gonna get team. I had one Could be a positive one hand and I multiply the coefficient by the gruesome body expert too. Let's see. So accept t x t He's the 1/2 which is where we see And if I see we're getting you back that we know Oh, the position is poor when x is home. So I have to spirits of one. Let's see, it's weird one one times two of seeing s t. So my position function Okay. Hey, 2222 teams two My position function and find my acceleration function and take the derivative of velocity. So you take with him. Yeah, the derivative of the velocity be double prime of tea, which is also the same thing as acceleration. About teen. He calls, um negative one and plans but key negative three because it's a track one from you