What path will a motor boat take if it moves in a straight line for 5s at a constant speed of 5.0 m / s
| September 7, 2021 | education
What path will a motor boat take if it moves in a straight line for 5s at a constant speed of 5.0 m / s and then decelerates for 2s with a constant acceleration of 1 m / s?
t1 = 5 s.
V1 = 5 m / s.
t2 = 2 s.
a = 1 m / s2.
S -?
The path S traversed by the motor boat will be the sum: S = S1 + S2, where S1 is the path in uniform motion, S2 is the path in slow motion.
With uniform rectilinear motion, the path S1 traveled by the boat is found by the formula: S1 = V1 * t1.
S1 = 5 m / s * 5 s = 25 m.
In slow motion with constant acceleration, the path S2 traveled by the boat is expressed by the formula: S2 = V1 * t2 – a * t2 ^ 2/2.
S2 = 5 m / s * 2 s – 1 m / s2 * (2 s) ^ 2/2 = 8 m.
S = 25 m + 8 m = 33 m.
Answer: the boat covered the path S = 33 m.
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