what would the instantaneous velocity be at 7.50 seconds and how would i solve instantaneous velocity for other values?
edit: solved, thanks for help
Instantaneous velocity is dx/dt which is the slope of the graph.
The answer is the slope of the graph at the required instant (t = 7.5).
slope at 7.5 = (0 - -5)/(8-7) = 5/1 = 5
assuming x is -5 at t=7 and x is 0 at t=8.
It depends on being able to read the value of x precisely from the graph. Assuming x to be -2 at 7.5 is also fine, but you'll get a different answer.