Question: An object is moving back and forth on the x -axis according to the equation x ( t ) = 3sin(20 t ), t> 0

An object is moving back and forth on thex-axis according to the equationx(t) = 3sin(20t),t> 0, wherex(t)is measured in cm andtin seconds. Give decimal answers below.(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) What istthe first time that the object is at its farthest right? (c) At the time found in part (b), what is the object's velocity? (d) At the time found in part (b), what is the object's acceleration?

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 Mathematics Questions!

An object moves along the x axis according to the equation x = 3.75t - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.80 s and t = 3.50 s. 14.5...

6. [-/1 Points] DETAILS SERPSE10 2.5.OP.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A crate slides along the x-axis and the figure below shows a record of its velocity as a function of time....

An object is moving back and forth on the x - axis according to the equation x ( t ) = 3 sin ( 2 0 t ) , t > 0 , where x ( t ) is measured in cm and t in seconds. Give decimal answers below.

An object moves along the x axis according to the equation x = 2 . 6 5 t 2 - 2 . 0 0 t + 3 . 0 0 , where x is in meters and t is in seconds. ( a ) Determine the average speed between t = 1 . 5 0 s...

Answer the questions with completed solutions. 11A car travels in a straight line with an average velocity of 80.0 km/h for 2.50 h and then With an average velocrty of 40.0 km/h for 1.50 h. (a) What...

1) A particle moves along the x axis according to the equation x(t)=3t - 2t+3, where x is in meters and t is in seconds. a) what is the particle position at t = 2s? b) what is the particle...

calculus help please 1. [I1 Points] DETAILS MY NOTES | ASK YOUR TEACHEF 0f the two functions in gure below which is the derivative of the other? Y (j The blue function is the derivative of the red...

Some electric field lines are shown. Three charges are labeled (1, 2, and 3). 2 2. Which charge(s) is/are positive charges? a. Charge 1 only b. Charge 2 only c. Charges 1 and 3 d. Charges 2 and 3 e....

The point P(5, -3) lies on the curve y = 3/(4 - x). (a) If Q is the point (x, 3/(4 - x)), use your calculator to find the slope moo of the secant line PQ (correct to six decimal places) for the...

Calculus : Please show work as organized as possible. (I get easily confused with numbers). Please put a box on the answer to separate from the rest and put what question number it is. Thank you so...

The probability of a particular type of sensor functioning properly is 0.99. Consequently, a triply redundant sensor system has been proposed for a critical measurement. Thus, three independent...

Suppose an application uses rdt 3.0 as its transport layer protocol. As the stop-and-wait protocol has very low channel utilization (shown in the cross country example), the designers of this...

Cost-volume-profit relationships provide management with a simplified framework for organizing its thinking on a number of problems. Discuss.

REVIEW THE INFORMATION ABOUT LEAPFROG HOSPITAL SAFETY GRADES. CHOOSE TWO HOSPITALS TO COMPARE A VERY EFFECTIVE ONE AND ONE WHICH IS NOT EFFECTIVE. WHAT SEPARATES THE TWO? HOW CAN THE A HOSPITAL USE...

9. Discuss the statement: If the actors mainly act on the basis of a view of human-ity as driven by self-interest, and incorporate this idea into their models, they may end up with their premises...

5. What does it mean when we say the evaluation comes before the presenta-tion?.

1. Discuss the following statements: a) Predetermined is not the same thing as predictable. b) When we are aware of the consequences of our behaviour, we can change our behaviour. c) What we know is...