Gce Model Questions Vol1 2018 Physics Question 18

Practice objective / multiple choice question 18 from the 2018 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2018 Physics Objective / Multiple Choice Medium Difficulty
Question 18 GCE_MODEL_QUESTIONS_VOL1 • 2018 • PHYSICS • objective

A particle moves along a straight line with a time‑dependent acceleration given by \(a(t)=k\,t\), where \(k\) is a constant. At \(t=0\) its speed is \(3.0\ \text{m s}^{-1}\). After \(4.0\ \text{s}\) it has travelled a distance of \(50\ \text{m}\). (a) Find the value of \(k\). (b) Determine its speed at \(t=4.0\ \text{s}\). (c) Calculate the additional distance it travels between \(t=4.0\ \text{s}\) and \(t=6.0\ \text{s}\).

Answer Options

A. k = 2.80 m·s^{-3}, \; v(4\,\text{s}) = 28.0 m·s^{-1}, \; \Delta s = 85.0 m
B. k = 4.10 m·s^{-3}, \; v(4\,\text{s}) = 34.2 m·s^{-1}, \; \Delta s = 105.5 m
C. k = 3.00 m·s^{-3}, \; v(4\,\text{s}) = 30.0 m·s^{-1}, \; \Delta s = 90.0 m
Correct Answer D. k = 3.56 m·s^{-3}, \; v(4\,\text{s}) = 31.5 m·s^{-1}, \; \Delta s = 96.3 m
Correct Answer
D
Correct Option:
k = 3.56 m·s^{-3}, \; v(4\,\text{s}) = 31.5 m·s^{-1}, \; \Delta s = 96.3 m

About This Question

This is Gce Model Questions Vol1 2018 Physics Question 18. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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