1. The problem statement, all variables and given/known data I currently have a few problems I am working on for my calculus based physics class. I'm duel enrolling in both calc based physics and calc at this moment. |||The first problem is The figure (figure 1) shows the motion diagram, made at two frames of film per second, of a ball rolling along a track. The track has a 3.0-m-long sticky section. Here is figure 1 The questions pertaining to this particular problem are as follows. A) Make a position-versus-time graph for the ball. B) What is the change in the ball's position from t = 0 s to t = 1.0 s? C) What is the change in the ball's position from t = 2.0 s to t = 4.0 s? ||| The Second problem A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 32m/s2 for 35s , then runs out of fuel. Ignore any air resistance effects. A) What is the rocket's maximum altitude? The answer I got that was correct was 84 km. B) How long is the rocket in the air? Express in seconds with two significant figures. ||| Problem 3 A 1000kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16s, then the motor stops. The rocket altitude 20s after launch is 5100m. You can ignore any effects of air resistance. A) What was the rocket's acceleration during the first 16 s? B) What is the rocket's speed as it passes through a cloud 5100 m above the ground? 2. Relevant equations Problem 1 Equations? Problem 2 Equations? Problem 3 Equations? 3. The attempt at a solution Problem 1: I am a little disoriented by this problem and I am not sure where to start. Problem 2: I have attempted this problem and this is all I've been able to do. What's the next step? 32m/s2*35 s = 1120 m/s .5*32m/s2*(35)s2+.5*(32*35)s2/9.81 = 83534.7m/1000 = 84 km I calculated the time after it stops accelerating that it is within the air to be 114.4 seconds; do I now add the 35 seconds to this to get my answer? Mastering Physics is saying 149 is not correct. Where do I go from here? Problem 3: I attempted but my work got me 25.5 m/s2 which it said was wrong. I'll edit the equations and work I attempted tomorrow. It's gotten late and I need a fresh brain to properly input these figures. I can do these problems I know I can... I just am not sure which formula to use for which part of each question. Explaining that would be great. Mostly just giving me the appropriate kinematic equations would be a enough; Along with a break down of what each symbol or variable stands for... Please anyone help me with the appropriate equations to use for these problems!