Question: Draw the corresponding velocity vs. time and acceleration vs. time graph for the given position vs. time graph. A car initially at rest accelerates at

Draw the corresponding velocity vs. time and acceleration vs. time graph for the given position vs. time graph.

A car initially at rest accelerates at 2 m/s² for 2 seconds (t = 0 s to t = 2 s), travels at a constant velocity of 4 m/s for 2 seconds (t = 2 s to t = 4 s), then slows to a stop over the next 3 seconds (t = 4 s to t = 7 s). Construct a velocity graph and motion map for the car. Include velocity and acceleration vectors on the motion map.

a) How fast is the car moving at t = 1.5 s? Show all work and calculations.

b) What is the car's displacement from t = 2s to t = 7s? Show all work and calculations.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

graph. Draw the corresponding velocity vs. time and acceleration vs. time graph for the given position vs. time Postlion () Velocity (-/'s) Acceleration ( m/5 " ) 0 lin A car initially at rest...

Figure 2.66 shows the position graph for a particle for 6 s. (a) Draw the corresponding Velocity vs. Time graph. (b) What is the acceleration between 0 s and 2 s? (c) What happens to the acceleration...

Problem 2) Up-and-down Motion in Free Fall You throw a ball vertically upward from the roof of a tall building. The ball leaves your hand at a point even with the edge of the roof with an upward...

For the following scenario, take your coordinate axis to have increasing values of x to the right. The position of a particle moving along the x axis is given by x (t) = 3.0m + (5.0m/s)t for 3...

e Produce mathematical models for the identified elements of the problem e Apply calculus methods to produce answers for each of the elements In your proposal you need to outline the problem and the...

Please help me describe the motion of the object at part d and e and explain the velocity vs time and acceleration vs time graphs. I have attached the question and answer. Below is a...

1. What is a tangent line and what is it used for? Sketch an example. 2. What value is the slope of a v vs t graph for a free-falling object? Why? 3. If wind resistance was included in the previous...

Two train cars collide on a level track. The velocity vs time graph for the first train car is given. Sketch the momentum vs time, acceleration vs time, and force vs time graphs for the first train...

6. A satellite in space is travelling at 14 m/s in one direction. A thruster is applied for 30. s and the satellite is then travelling at 12 m/s in the opposite direction. What acceleration does the...

Suppose that every row in the matrix A of a linear program Ax b corresponds to a difference constraint, a single-variable constraint of the form xi bk, or a single-variable constraint of the form -xi...

A string with no initial displacement is set into motion by being struck over a length 2s about its center. This center section is given an initial velocity v0. Describe the subsequent motion.

where can I find the cash flow inputs for exhibit 1 in order to calcualte discounted cash flows

urgent 4. What Kind of reservation systems do they follow? 5. Types of Rooms and Room Rates for each Kind of Room 6 How did they sustain the business while Covid and what's their Research a hotel...

6. Identify a core value that is important to you and that you would like to strengthen in yourself. Write down this core value. Then complete the follow-ing sentence: This core value is important to...

13. In the statements below, put a cross for the statement you feel characterizes yourself best when you communicate with others. Its not necessarily the way you know you should communicate, but the...

8. What values do you want others to associate you with?