Final answer:
The statement regarding the index value in an array is true, as it indicates the offset from the array's beginning to the referenced element. The position vs time graph of an object that is speeding up is not a straight line, which means it is false. Additionally, the observed frequency does not become infinite when the source moves at the speed of sound, so this is also false.
Step-by-step explanation:
The statement that the index value represents an offset from the beginning of the array to the element being referenced is true. In computer programming and mathematics, an array is a collection of elements stored at contiguous memory locations. The index of an array element is typically an integer that indicates the position of that element in the array, starting from zero. Therefore, if you have an array with the first element at index 0, the second element will be at index 1, and so on, with each index value indicating the offset from the beginning of the array.
True or False: The position vs time graph of an object that is speeding up is a straight line.
This statement is false. When an object is speeding up, its velocity is increasing over time, which means that the slope of the position vs time graph is also increasing. Therefore, the graph will not be a straight line; instead, it would be a curve that gets steeper as time progresses. This indicates acceleration.
True or false - The observed frequency becomes infinite when the source is moving at the speed of sound.
This statement is false. When the source of a sound moves at the speed of sound, a phenomenon known as a sonic boom occurs. The observed frequency does increase as the source approaches the speed of sound, but it does not become infinite. Instead, the waves pile up leading to the characteristic sonic boom.