Question

a particle moving horizonta lly with velocity of 12m/s.its velo city decreases at uniform rate 0.5m/s^2. find time it will take to come to rest and distance travelled

Answer 1

u = 12 m/s
v = 0 m/s
a = -0.5 m/s²

Using Ist eq. of motion:

v = u + at
0 = 12 - 0.5t
=> t = 24 seconds

Now, using IIIrd Eq. of Motion:

v² - u² = 2as
0 - 144 = -2(0.5)(s)
s = 144 m

Hope this helps. :D