Name: Motion With Variable Acceleration
Uploaded: 2019-07-19
Duration: 10 min 54 s
Description: You may be aware of the SUVAT equation, but do you think this can be applicable for all types of motion? No, what are those motion? Watch this to find out.

Question

In chapter $1$ , we looked at how to use a motion sensor to measure the speed and position of a moving object. Based on the similar methadology, suggest how a motion sensor could be used to determine $g$ .

Accepted Answer

Refer to the diagram given below for determining the speed and position of a moving object.

Here, the ultrasonic waves are produced, and the reflected rays are sensed by the sensor. The corresponding distance and time are measured and plotted on the graph. The slope of the graph is the velocity.

Similarly, if the motion sensor emits ultrasonic waves in the vertically upward direction and the object is allowed to fall vertically downward in line with the sensor, then the measured distance $(h)$ is plotted against the $(t^{2})$ and the gradient is measured which will be $\frac{1}{2} g$ .

The distance covered under free fall is given by:

$h = \frac{1}{2} g t^{2}$

David Sang and Graham Jones Solutions for Chapter: Accelerated Motion, Exercise 10: Questions

David Sang Physics Solutions for Exercise - David Sang and Graham Jones Solutions for Chapter: Accelerated Motion, Exercise 10: Questions

Questions from David Sang and Graham Jones Solutions for Chapter: Accelerated Motion, Exercise 10: Questions with Hints & Solutions

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