The position of an object is given as a function of time as x(t) = (-3.00 m/s)t + (1.00 m/s²)t². What is the average speed of the object between t = 0.00 s and t = 2.50 s? A)0.500 m/s B)2.00 m/s C)-0.500 m/s D)1.30 m/s E)2.60 m/s

Question

Quizplus · Accepted Answer

The average speed is the total distance traveled divided by the total time taken. The total distance traveled is the area under the x-t graph, which is a triangle with a base of 2.50 s and a height of 2.50 m/s. The total time taken is 2.50 s. Therefore, the average speed is (1/2)(2.50 m/s)(2.50 s) = 1.30 m/s.

The Position of an Object Is Given as a Function