Answer: [tex]-6.80\ ms^{-2}[/tex]
Explanation:
We know that the formula for acceleration is given by:
[tex]a=\dfrac{v-u}{t}[/tex] , where v = Final velocity
u= Initial velocity
Given : The driver of a car traveling 110 km/h slams on the brakes so that the car undergoes a constant acceleration.
i.e. u= 110 km/h [tex]=\dfrac{110\times1000}{3600}\approx35.6\ m/s[/tex] [∵ 1 km= 100 meters and 1 hour = 3600 seconds]
v= 0 m/s ( At brake , final velocity becomes 0)
t=4.5 seconds
Substitute all the values in the formula , we get
[tex]a=\dfrac{0-30.56}{4.5}\approx-6.80\ ms^{-2}[/tex]
Hence, the average acceleration of the car during braking is [tex]-6.80\ ms^{-2}[/tex].
