Basic Mathematics010 marksNumerical: free fall average speedAverage and instantaneous rates of change
A rock breaks loose from the top of a tall cliff. Find average speed during the first 2 sec of fall. What is its average speed during the 1sec interval between second 1 and second 2? Find the speed of the falling rock at t = 1 and t = 2. [3+3+4]
A rock breaks loose from the top of a tall cliff. Find average speed during the first 2 sec of fall. What is its average speed during the 1sec interval between second 1 and second 2? Find the speed of the falling rock at $t = 1$ and $t = 2$. [3+3+4]
- Rock breaks loose from rest, so initial velocity $u = 0$ - Free fall under gravity: $g = 9.8 \text{ m/s}^2$ (standard value) - Equations of motion: $s = ut + \frac{1}{2}gt^2$, $v = u + gt$ (Note: This is a standard Halliday/Resnick style problem where $g = 9.8 \text{ m/s}^2$ is the intended val...