A car was travelling at a constant speed of 19 m/s, then accelerated for 10 seconds. The distance travelled, during this time, “
d” metres, is given by the formula d = 19t + t^2, where “t” is the time in seconds since the acceleration began. How long did it take the car to travel 200m? Give the answer to the nearest tenth of a second. Solve algebraically.
1 answer:
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Option C:
The coefficient of is 40.
Solution:
Given expression:
Using binomial theorem:
Here
Substitute in the binomial formula, we get
Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.
Let us solve the term one by one.
Substitute these into the above expansion.
The coefficient of is 40.
Option C is the correct answer.