Question

1 a cyclist moving on a circular track of radius 100m completes one revolution in 2 minutes what is his average speed and average velocity in one full revolution.
2 moving with uniform acceleration a body covers150m during 10 sec so that it covers 24m during the 10th sec wat is the initial velocity and acceleration of the bdy

Answer 1

1. Average speed = total distance travelled/ total time taken = 2•π•100/2•60 = 5.24 m/s,
Displacement is the distance from starting point to the end point.
Average velocity = final displacement/total time taken = 0/t =0.
2.

s =vₒ•t +a•t²/2,
v(9) = vₒ +a•9,
24 =v(9) •1 + a•1²/2 =
=vₒ +a•9 + a•1²/2 =
= vₒ +9.5•a.
s =vₒ•t +a•t²/2 =>
150 = vₒ•10+ a•100/2 =
= 10• vₒ + 50•a.

24= vₒ +9.5•a,
150= 10• vₒ + 50•a.
45° = 90,
a = 2 m/s².
vₒ = 24-9.5 •a = 5 m/s.

Answer 2

average speed = total distance /total time
radius=50m so circumference=2*22/7*50
= 311.43/4
=7.85

Answer 3

100meter and 4 min