The trolleybus covered 120m in 12 seconds, what speed it acquired at the end of the track and with what acceleration
November 19, 2020 | education
| The trolleybus covered 120m in 12 seconds, what speed it acquired at the end of the track and with what acceleration it moved if the initial speed was 10 m / s.
Distance traveled by trolleybus:
S = V0 * t + a * t² / 2, where S is the distance covered by the trolleybus (S = 120 m), V0 is the initial speed (V0 = 10 m / s), and is the acceleration of the trolleybus (m / s²), t – travel time (t = 12 s).
Let’s express and calculate the acceleration:
a * t² / 2 = S – V0 * t.
a = 2 * (S – V0 * t) / t² = 2 * (120 – 10 * 12) / 12² = 2 * 0 / 12² = 0 m / s².
Since a = 0 m / s², the movement is uniform and V = V0 = 10 m / s.
Answer: Acceleration is 0 m / s², final speed is 10 m / s.
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