Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

The displacement s(t) of a car as a function of time t is given as s(t) = (3t² - 2t + 1) m. Find its velocity at time t = 4 s. At what time will the velocity of the body become zero?
Options
A 12 m/s, 0
B 22 m/s, 0.333 s
Correct Answer
C 12 m/s, 0.333 s
D 10 m/s, 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

v(t) = ds/dt = 6t - 2. At t = 4 s, v = 6×4 - 2 = 24 - 2 = 22 m/s. Set v=0: 6t - 2 = 0 → 6t = 2 → t = 1/3 = 0.333 s.

Hint

Velocity is derivative of displacement.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 919 of 1250
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