Deceleration Formula with Examples

Deceleration Formula :

Anytime we are in a vehicle and we feel moving forward relative to the vehicle, then we are decelerating. Here, deceleration is a special case of acceleration whereby it only applies to objects slowing down

Deceleration = Final time – Initial time / Time taken

Deceleration a(m/s2)  in meter per second square is equal to the product of the final velocity v(m/s)   in meter per second is subtracted by initial velocity u(m/s)   in meter per second is divided by time taken t(s) in second. Hence the Deceleration Formula has been written as,

a(m/s2)  = v(m/s)   –  u(m/s)   / t(s)

Deceleration a(m/s2)  in meter per second square is equal to the product of the final velocity v(m/s)   in meter per second is subtracted by initial velocity u 2(m/s)   in meter per second is divided by distance covered 2s(m).in second. Hence the Deceleration Formula has been written as,

a (m/s2) = v2(m/s)  – u2 (m/s) / 2s(m).

Where,

v →final velocity in (m/s).

u → initial velocity in (m/s).

t → time taken in (s).

s →distance covered in (m).

Deceleration Formula is used to calculate the deceleration of the given body in motion. It is expressed in meter per second square (m/s2).

Sample Examples:

Example 1:

Calculate the deceleration produced by brakes? In a automobile moving with a uniform velocity of 64 Kmph is brought to rest in travelling a distance of 6 m.

Solution :

Given: Initial velocity u = 64 Kmph,

Final velocity v = 0

Distance covered s = 6m

We know that v2 = u2 + 2as

Deceleration a = v2 –  u2 / 2s

= – (64000 )2 / 2(6)

a = – 122.88 * 10m/s2.

Example 2:

Calculate the deceleration value if the initial velocity is 10 m/s for a time of 2 s.

Solution :

We have,

u = 10

t = 2

Using the formula we have,

a = -u/t

= -10/2

= -5 m/s2.

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