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8) Given:-
Initial velocity (u) = 22.4m/s
Final velocity (v) = 0
Time = 2.55sec
To find:-
Accleration and distance
By applying, v - u = at
0 - 22.4 = a×2.55
22.4 = 2.55a
a = 22.4/2.55
= 8.7843m/s^2.
By applying, v^2 - u^2 = 2as
0 - 501.76 = 2×8.7843×s
501.76 = 17.5686s
S = 28.56m.
9) Given:-
Initial velocity (u) = 18.5m/s
Final velocity (v) = 46.1m/s
Time = 2.47sec
To find:-
Accleration and distance
By applying v - u = at
46.1 - 18.5 = a×2.47
27.6 = 2.47a
a = 27.6/2.47
= 11.174089m/s^2.
By applying, v^2 - u^2 = 2as
2125.21 - 342.25 = 2×11.174089×s
1782.96 = 22.348s
S = 79.78163m.
10) Given:-
Initial velocity (u) = 36km/hr = 10m/s
Final velocity (v) = 0
Time = 5sec
To find:-
(i) Accleration
By applying v - u = at
0 - 10 = a×5
10 = 5a
a = 10/5
= 2m/s^2.
(ii) Distance
By applying v^2 - u^2 = 2as
0^2 - 10^2 = 2×2×s
100 = 4s
S = 100/4
= 25m.