- A car traveling at 60 m/s began to decelerate with 1.5 m/s2
. Calculate the required time for the car to move a distance of 70 m during its slow down.
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Answer:
40 ± 2√(3390)/3
Explanation:
u = 60m/s
a = - 1.5m/s^2
To find:
Time to cover 70m in deceleration.
Formula:
s = ut + 1/2 at^2 ( Newton's second law of motion)
Solution:
70 = 60t + 1/2 * -1.5t^2
70 = 60t - 0.75t^2
0.75t^2 - 60t + 70 =0
Using quadratic formula we get
Roots: 78.815804341359, 1.184195658641
Root Pair: 40 ± 2√(3390)/3
t = 40 ± 2√(3390)/3
I think this question is incorrect as we get 2 value of t which are valid
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