The initial speed of the cart moving down the inclined board is 10 cm / s; the entire length of the board

| January 15, 2021 | education

The initial speed of the cart moving down the inclined board is 10 cm / s; the entire length of the board, equal to 2 m, the cart passed within 5 seconds, determine the acceleration of the cart 1.

V0 = 10 cm / s = 0.1 m / s.
S = 2 m.
t = 5 s.
a -?
The acceleration of a body a is a vector physical quantity that shows how quickly the body’s velocity V changes over time t: a = (V – V0) / t, where V, V0 are the final and initial velocity of the body, t is the time the velocity changes.
The acceleration of the body a can also be expressed from the formula: a = (V ^ 2 – V0 ^ 2) / 2 * S.
(V – V0) / t = (V ^ 2 – V0 ^ 2) / 2 * S.
(V – V0) / t = (V – V0) * (V + V0) / 2 * S.
1 / t = (V + V0) / 2 * S.
V + V0 = 2 * S / t.
V = 2 * S / t – V0.
V = 2 * 2 m / 5 s – 0.1 m / s = 0.7 m / s.
a = (0.7 m / s – 0.1 m / s) / 5 s = 0.12 m / s2.
Answer: the cart moves with acceleration a = 0.12 m / s2.



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