Question

In #3 you approximated the shell's speed at the =2 by computing the average speed over the interval from t=2 to t=2.01 this is a decent approximation of the speed at the instant t=2 but we can get even better approximations by using even shorter time intervals. f(x)=f(a+b)-f(a)/b-a =160t-16t^2

a) use the algebraic method to compute the average speed of the shell over the interval from t=2 to t=2-001

b) use the algebraic method to compute the average speed of the shell over the interval from t=2 tot=2.0001

c) what would you guess is teh exact value of the instantaneous speed of the shell at t=2

d) describe how you could interpret the instantaneous speed of the shell at t=2 on the graph of altitude as the slope of a line

Answer 1