- #1
vijay_singh
- 28
- 0
Hi
I tried to derive the distance traveled by a body at contact acceleration from the definition of acceleration (increase in speed every sec), but the ended with a different result. Can you see what I am doing wrong.
u = initial speed
t = time taken
S = {distance in 1st sec} + {distance in 2nd sec } + {distance in 3rd sec) + ... + {distance in t sec}
S = {u } + {u + a} + {u + 2a } + ...... + {u + (t - 1)a}
S = u * t + {a + 2a + ...+ (t - 1)a }
S = ut + a( 1 + 2 + 3 ...+ (t-1))
S = ut + a * t * (t -1) / 2
Vijay
I tried to derive the distance traveled by a body at contact acceleration from the definition of acceleration (increase in speed every sec), but the ended with a different result. Can you see what I am doing wrong.
u = initial speed
t = time taken
S = {distance in 1st sec} + {distance in 2nd sec } + {distance in 3rd sec) + ... + {distance in t sec}
S = {u } + {u + a} + {u + 2a } + ...... + {u + (t - 1)a}
S = u * t + {a + 2a + ...+ (t - 1)a }
S = ut + a( 1 + 2 + 3 ...+ (t-1))
S = ut + a * t * (t -1) / 2
Vijay