Question

How to calculate distance traveled in uniform deceleration motion?

Answer 1

Answer:

Explanation:

Deceleration also is known as negative acceleration. Hence it is denoted by – a.

If starting velocity, final velocity and time taken are given, Deceleration Formula is given by

deceleration formula 2

If initial velocity, final velocity and distance travelled are given, deceleration is given by

deceleration formula 3

Where,

v = final velocity,

u =  initial velocity,

t = time taken,

s = distance covered.

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

Solved Examples

Question 1: An automobile moving with a uniform velocity of 54 Kmph is brought to rest in travelling a distance of 5 m. Calculate the deceleration produced by brakes?

Solution:

Given: Initial velocity u = 54 Kmph,

           Final velocity v = 0

           Distance covered s = 5m

We know that v2 = u2 + 2as

Deceleration a = v2 –  u2 / 2s

                           = – (54000 )2 / 2(5)

a=-291.6 x 106 m/s2

Answer 2

Answer:

displacement in the nth second,we r talking about.suppose accleration is a and the initial velocity is u.

s=ut+1/2at^2.

if i will be said to find out the displacement in the nth second.so i will find out the displacement in the n-1 th second,can be easily found by the above given equation.

s(n-1)=u(n-1)+1/2a(n-1)^2=un-u+1/2a(n^2-2n+1)=un-u+1/2an^2-an+1/2a

now this is the total displacement in n-1 second.in n second the displacent is :

s(n)=un+1/2an^2

so i f i want the displacement in that n second nly,so i need to subtract the total displacement in n second and in n-1 second.

s(n)-s(n-1)=un+1/2an^2-un+u-1/2an^2+an-1/2a=u+an-1/2a=u+1/2a(2n-1).