A body starts to slide over a horizontal surface with an initial velocity of 0.5m/s. Due to friction its velocity decreases at the rate of 0.05m/s^2 how much time will it take for the body to stop?

solve for t in

0.5 - 0.05t = 0

10s

10 seconds

To find the time it takes for the body to stop, we need to use the equation of motion that relates initial velocity (u), acceleration (a), and time (t):

v = u + at

where v is the final velocity. In this case, the final velocity is zero because the body stops.

Given:
Initial velocity (u) = 0.5 m/s
Acceleration (a) = -0.05 m/s^2 (negative sign because it represents the deceleration due to friction)
Final velocity (v) = 0 m/s

Substituting the values into the equation, we have:

0 = 0.5 + (-0.05)t

Simplifying the equation:

-0.05t = -0.5

Dividing both sides of the equation by -0.05:

t = -0.5 / -0.05

t = 10 seconds

Therefore, it will take the body 10 seconds to stop.