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1)A Car starts from rest and Accelerates
Uniformly over a time of 5.21 Seconds or a Distance of 110 meter . Determine The Acceleration of the Car .
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Answers
Distance = s
Acceleration = a
Time = t
Initial velocity = u
GIVEN THAT
s = 110m
a = ?
t = 5.21s
u = 0 m/s
PUTTING SECOND EQUATION OF MOTION :-
s = ut + 1/2 at^2
110 = 0 x 5.21 + 1/2 x a x (5.21)^2
110 = 0 + 1/2 x a x 27.1441
110 = 0 + 1/2 x 27.1441 x a
110 = 0 + 13.572 x a
110 = 13.572 x a
110/13.572=a
8.10 =a
Acceleration = 8.10m/s^2
Abbreviation = Bold x like x this means Multiplication
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Answer:
Acceleration of Car is 8.8 metre/second ²
Explanation:
Given ,
Distance[ S ] = 110 meter
Time [ T ] = 5.21 second
Initial Velocity [ U ] = 0 m/sec
Acceleration [ A ] = ?
Using 2nd Equation of Motion
S = UT + 1/2AT²
110 = 0*5.21 + 1/2*A*(5.21)²
( Round Fig. 5.21 = 5 )
110 = 0*5 + 1/2*A*(5)²
110 = 25A/2
A = 8.8 m/sec²