You are driving your car,and the traffic light ahead turns red. You apply the brake for 3.00s,and the velocity of the car decreases to +4.50m/s.The car's deceleration has a magnitude of 2.70m/s^2 during the time. What is the car's displacement.
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Question:-
You are driving your car,and the traffic light ahead turns red. You apply the brake for 3.00s,and the velocity of the car decreases to +4.50m/s.The car's deceleration has a magnitude of 2.70m/s^2 during the time. What is the car's displacement.
Answer:- 25.65
Given:-
- Applied a brake for 3 sec
- Velocity of the car decreases to 4.5m/s
- declaration of car is 2.7m/s^2
t = 3 sec , v = 4.5m/s , a = -2.7m/s^2
Formula:- v = u + at
s = ut + 1/2 at^2
v^2 - u^2 = 2as
To Find:-. u = ? , s = ?
Explanation-
v = u +at
4.5 = u + (-2.7) (3)
4.5 = u - 8.1
-u = -4.5 - 8.1
-u = -12.6 [ - and - will be cancelled]
u = 12.6
t = 3 sec , v = 4.5 m/s , a = -2.7m/s^2 , u = 12.6 m/s , s = ?
v^2 - u^2 = 2as
(4.5)^2. - ( 12.6 ) ^2 = 2 × -2.7 × s
20.25 - 158.76 = -5.4s
s = -138.51
-5.4
s = 25.65
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