So there is two truths given. After an amount of time Ttotal (lets call it ‘t’):
The car’s speed is 25m/s
The distance travelled is 75m
Then we have the formulas for speed and distance:
v = a x t -> 25 = a x t
s = 0.5 x a x t^2 -> 75 = 0.5 x a x t^2
Now, we know that both acceleration and time equal for both truths. So we can say:
t = 25 / a
t^2 = 75 / (0.5 x a) = 150 / a
Since we don’t want to use square root at 2) we go squared for 1):
t^2 = (25 / a) ^2 = 625 / a^2
t^2 = 150 / a
Since t has the same value for both truths we can say:
625 / a^2 = 150 / a
Thus multiply both sides with a^2:
625 = 150 x a, so a = 625 / 150 = 4.17
We can now calculate t as well t = 25 * 150 / 625 = 6
