A cyclist is cycling at uniform velocity of 8m/sec for 8 sec then applies brakes and cycle come to rest in next 10 sec. calculate

a)Distance traveled by uniform velocity.
b)distance traveled by non-uniform velocity
c)total distance traveled
d)the average velocity in entire journey

(a) s1 =v•t =8•8 =64 m,

(b)
v(final) =v - a•t,
v(final) =0,
a =v/t,
s =v•t - at²/2 =
= v•t - v•t²/2•t =v•t/2=8•8/2=32 m.
(c)
s =s1+s2 = 64+32 = 96 m.
(d)
v(ave) = s/t =96/(8+10) = 5.33 m/s.

a)uniform velocity=8m/s t1=8sec t2=10

d=s*t =8*8=64m
b) v=u+at
due to retardation v=u-at
0=u-at
u=at
a=u/t
s=ut+1/2*at^2
s=ut/2
s=64/2=32
c)total disct.=96m
d)avg velocity=total displacement/total time
=96/18=48/9

To calculate the distance traveled in different scenarios and the average velocity, we need to use some basic equations of motion.

a) Distance traveled by uniform velocity:
To find the distance traveled by uniform velocity, we can use the formula:
Distance = Velocity × Time
Distance = 8 m/s × 8 sec
Distance = 64 meters

b) Distance traveled by non-uniform velocity:
Since the cyclist applies brakes and comes to rest, the distance traveled by non-uniform velocity will be the distance covered in the next 10 seconds while decelerating. Since the velocity is not given, we cannot calculate the exact distance without additional information.

c) Total distance traveled:
To calculate the total distance traveled, we need to add the distances traveled during uniform velocity and non-uniform velocity.
Total Distance = Distance traveled by uniform velocity + Distance traveled by non-uniform velocity

d) Average velocity in the entire journey:
The average velocity is calculated by dividing the total distance traveled by the total time taken. Since we have only been given the time for uniform velocity and non-uniform velocity separately, we cannot calculate the average velocity without additional information.

Therefore, without the value of the non-uniform velocity, we can only compute the distance traveled by uniform velocity and the total distance traveled.