The table shows the position of a cyclist.
t (seconds) 0 1 2 3 4 5
s (meters) 0 1.6 5.5 10.6 17.1 24.9
(a) Find the average velocity for each time period.
(i) [1, 3]
4.5
Correct: Your answer is correct.
m/s
(ii) [2, 3]
5.1
Correct: Your answer is correct.
m/s
(iii) [3, 5]
7.15
Correct: Your answer is correct.
m/s
(iv) [3, 4]
6.5
Correct: Your answer is correct.
m/s
(b) Estimate the instantaneous velocity when t = 3.
the anwer the main formula concerning such a problem is as follow: v= Delta x / Delta t =Δx / Δt = xf - xi / tf - ti f = final value, i=initial value
Find the average velocity for each time period. when t is in [1, 3] so v= xf - xi / tf - ti = 10.6 -1 .6 =9 / 3 - 1 =9 / 2 = 4.5 your answer is correct
when t is in [2, 3]
v = 10.6 - 5.5 / 3 - 2 = 5.1 m/s
your answer is correct
when t is in [3, 5] v = 24.9 - 10.6 / 5-3 = 7.15 m /s your answer is correct
when t is in [3, 4] v = 17.1 - 10.6 / 4 -3 = 6.5 m/s your answer is correct
