일반물리학(대학물리학)

홍익대 서울캠 일반물리학(대학물리학) 2020-1 기말 기출문제 (정답 포함)

2025.11.07 11:50

벡터의 시간에 따른 변화와 운동량 해석

📚 키워드
위치벡터, 평균속도, 순간속도, 속력, 미분 통한 속도 계산

Suppose the position vector for a particle is given as a function of time by 𝑟

[기출 문제]

Suppose the position vector for a particle is given as a function of time by 𝑟
⃗(𝑡) = 𝑥(𝑡)i
⃗
+ 𝑦(
at 𝑡 = 2.0

[정답]

Suppose the position vector for a particle is given as a function of time by
r(t) = x(t)i + y(t)j

with

x(t) = at + b
y(t) = ct^2 + d

where
a = 1.00 m/s,
b = 1.00 m,
c = 0.125 m/s^2,
d = 1.00 m.

(a) Calculate the average velocity during the time interval from t = 2.00 s to t = 4.00 s.
(b) Determine the velocity and the speed at t = 2.00 s.

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