Maria is undergoing physical therapy for a back injury. Her therapist instructs her to use the power-glide incline. When using the incline, Maria pushes with her legs, raising her torso 30 cm up the incline and then she release to drop back down again. She is instructed to repeat this exercise 30 times.
a) What is the total distance that Maria moves the glider while exercising?
b) what is the overall displacement of the glider?
My answers:
a) 900 cm
b) 0
Not sure if they r right or not!!!
Thanks!
They look right to me. Of course she is not really moving it for the half of the trip that is down so you could make an argument that she is really only moving it up 450 cm and it is moving itself down 450 cm. It is the words "release" and "drop" that cause me to say that. The glider moves 900cm, but Maria really only moved it the up half.
To find the total distance that Maria moves the glider while exercising, we need to calculate the distance covered in each repetition and then sum them up.
In each repetition, Maria raises her torso 30 cm up the incline and then drops back down. This means that for each repetition, she covers a distance of 30 cm up the incline and then another 30 cm down the incline. So, the distance covered in each repetition is 30 cm (up) + 30 cm (down) = 60 cm.
Since Maria repeats the exercise 30 times, we can multiply the distance covered in each repetition (60 cm) by the number of repetitions (30) to find the total distance:
Total distance = 60 cm * 30 repetitions = 1800 cm.
Therefore, the total distance that Maria moves the glider while exercising is 1800 cm.
Now let's determine the overall displacement of the glider. Displacement refers to the change in position of an object taking into account both distance and direction.
In this case, Maria starts at the bottom of the incline and ends up back at the bottom after each repetition. So, considering the starting and ending points, the overall displacement of the glider is zero.
Therefore, the overall displacement of the glider is 0.