Kinematics Problems A) A robot starts at X0 = 4.00m and has a time dependent velocity...

Kinematics Problems

A)

A robot starts at X0 = 4.00m and has a time dependent velocity given by:

Vx (t) = 7.65 m/s - (3.71 m/s^3) t^2

Find the position as a function of time?
Find acceleration as a function of time?

Find the position, velocity, and acceleration at t= 2.50 s?

Find the average velocity of the robot for the first 2.50s?

Find the average acceleration of the robot from t= 1.00s to t= 2.50s ?

Is the robot speeding up or slowing down at t= 2.50s? Explain.

B)
A mouse starts at X0= +6.50 m. It is initially moving left at V0x = - 2.11 m/s. It has a time dependent acceleration given by:

ax (t) = (4.75 m/s^2) + (1.50 m/s^4) t^2

Find the position, velocity, and acceleration of the mouse at t= 5.00s?

Find the average acceleration from t= 2.00s to t= 5.00s ?

Is the mouse speeding up or slowing down at t= 0.300s? Explain

At what time does the mouse change direction?

Expert Solution

genius_generous answered 2 years ago

what is the definition of mechanics,kinematics solving problems, instantaneous velocity, instantaneous speed, instantaneous acceleration, significant figures,...

what is the definition of mechanics,kinematics solving problems, instantaneous velocity, instantaneous speed, instantaneous acceleration, significant figures, scientific notation, standard scientific notation,?

1. a.If a bioreactor starts with 10,000 cells in a culture that has a generation time...

1. a.If a bioreactor starts with 10,000 cells in a culture that has a generation time of 2 h, how many cells will be in the culture after 4, 24, and 48 h? (30 points) b.How long would it take for an initial population of 106 cells/ml to reach a size of 108 cells/ml if the generation time is 30 min? (20 points) c. In a picnic, the dosa was contaminated with 46 cells of Propionibacterium acnes. If P. acnes...

2). A particle moving on the x-axis has a time-dependent position (t) given by the equation...

2). A particle moving on the x-axis has a time-dependent position (t) given by the equation x (t) = ct - bt^3. Where the units of x are meters (m) and time t in seconds (s). (Hint: you must get derivatives, you need graph paper) (a) So that the position in x has units of meter which are the units of the constants c and b? If c = 5 and b = 1. From ti = 0s to tf...

Calculating Cycle Time and Velocity Indy Company has the following data for one of its manufacturing...

Calculating Cycle Time and Velocity Indy Company has the following data for one of its manufacturing plants: Maximum units produced in a quarter (3-month period): 250,000 units Actual units produced in a quarter (3-month period): 199,000 units Productive hours in one quarter: 25,000 hours Required: 1. Compute the theoretical cycle time (in minutes). minutes per unit 2. Compute the actual cycle time (in minutes). Round your answer to two decimal places. minutes per unit 3. Compute the theoretical velocity in...

A certain process controller in your plant has been known to develop problems over time. This...

A certain process controller in your plant has been known to develop problems over time. This typically manifests as an increase in temperature variability. The typical process standard deviation when thecontroller works properly is 1.5 degrees. When the standard deviation exceeds this, the controller is taken offline and repaired. To avoid unnecessary downtime, you need to do a statistical test that only takes the controller down if you are 95% confident the variability is too high. Construct a hypothesis test...

Consider the following four--?step assembly operation with quality problems. -The first resource has a processing time...

Consider the following four--?step assembly operation with quality problems. -The first resource has a processing time of 7 minutes per unit and one employee doing the operation ? The second resource has a processing time of 4 minutes per unit. It also has one employee doing the operation. However, this is a very delicate task and 0.79 of all products have to be scrapped after this step. ? Two workers are staffed for the third resource. No quality problems occur...

Consider the following four--‐step assembly operation with quality problems. -The first resource has a processing time o...

Consider the following four--‐step assembly operation with quality problems. -The first resource has a processing time of 5 minutes per unit and one employee doing the operation ‐ The second resource has a processing time of 4 minutes per unit. It also has one employee doing the operation. However, this is a very delicate task and 0.85 of all products have to be scrapped after this step. ‐ Two workers are staffed for the third resource. No quality problems occur...

Question