The brakes applied to a car produce an acceleration of 6 m s-2 in the opposite direction to the motion. If the car takes 3 s to stop after the application of brakes, calculate the distance it travels during this time. Also calculate the initial velocity of the car
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Answer:
distance travelled 27m speed of car(initial)=18m/s²
Explanation:
Given:
Acceleration: -6m/s^2 ( taken negative acceleration because acceleration is taking place opposite the direction of motion)
Time taken by car to stop : 3 sec
Final Velocity of car : 0 m/s^2
By using 1st law of motion : v = u + at
0=u+(-6)(3)
0=u+(-18)
u=18m/s^2
Distance travelled by car after the break is applied : By using 2nd law of motion (s=ut+1/2at²)
s=18*3+1/2*(-6)*(3²)
s = 54+(-27)
s=27m
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