Question

If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, it height in feet after t second is given by y = 70 t - 16 t^2. Find the average velocity for the time period beginning when t = 2 and lasting

(i) 0.1 seconds

Answer 1

velocity = displacement/ time = y2-y1/t2-t1
y= 70t-16t^2 we know t= 2 and initial velocity = 70
so av= y2 ( value of y when we sub in t=2) which for this case y=70(2)-16(2^2)= 76
therefor 76-70/2.1-2= 60 a)
and 76-70/2.01-2= 600 b)
and 76-70/2.001-2=6000 c)

a) 76-70/0.1 = 60ft
b) 76-70/0.01= 600ft
c) 76-70/0.001= 6000ft