A box is moving along the x-axis and its position varies in time according to the expression x = (6.00 m/s2)t2, where x is in meters and t is in seconds. (a) Determine its position (in m) at t = 3.80 s. (b) Determine its position (in m) at t = (3.80 s) + At. (Use the following as necessary: At. Do not include units in your answer.) X = Ax as At approaches zero to find the velocity (in m/s) at t = 3.80 s. At (c) Evaluate the limit of m/s

A person running through the forest with equation: y(x, t) = (1.1 m)cos(3.1x – 7.1t) for which x has units of meters and t has units of seconds. Calculate the speed of the person running in  m/s. Include postive or negative sign in the answer to show which direction the person is moving in

I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?

Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/s

A car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration.  If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.

During 55 successive 1.001.00 min intervals, a runner moves at the following constant speeds: 0.4000.400 km/min, 0.2000.200 km/min, 0.1100.110 km/min, 0.1100.110 km/min, and 0.3600.360 km/min. a.) Find the total distance traveled. b.) Find the average speed.

5. When 12 times a number is added to the square of that number, the result is ‒32.  Determine the two numbers that fit this condition. Answer step-by-steps. 6. A cannonball is fired from ground level on an arc described by h = ‒t2 + 8t, where h = the height in metres and t is the time in seconds.  How many seconds after firing will it land? Answer step-by-steps.

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A runner completes the 200-meter dash with a time of 19.67 seconds. Part A What was the runner's average speed in meters per second? Express your answer to four significant figures. {—| ΑΣΦ Submit Part B X Incorrect; Try Again; 4 attempts remaining wwwww. Previous Answers Request Answer Submit What was the runner's average speed in miles per hour? Express your answer to four significant figures. ΤΙ ΑΣΦ Request Answer ? m/s mi/h

The acceleration of an object (in m/s) is given by the function a(t) = 7 sin(t). The initial velocity of the object is v(0) 2 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters