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Body pushed from rest by a constant force given in i and j components: its position after a time

This type of question, asked 3 times: 2021 Paper 25, 25 Jun 2022, 4 Apr 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 25

    28
    A boy pushes a box of mass 2 kg2\text{ }kg with a force F→=(20i^+10j^)N\overrightarrow{F}= (20\widehat{i}+ 10\widehat{j})N on a frictionless surface. If the box was initially at rest, then ___ mm is displacement along the xx-axis after 10 s10\text{ }s.

  2. Question 2

    25 Jun 2022

    30
    A force on an object of mass 100 g100\text{ }g is (10i^+5j^)N(10\widehat{i}+ 5\widehat{j})N. The position of that object at t=t= 2 s2\text{ }s is (ai^+bj^)m(a\widehat{i}+ b\widehat{j})m after starting from rest. The value of ab\frac{a}{b} will be

  3. Question 3

    4 Apr 2026 S2

    3
    At t=0t= 0, a body of mass 100 g starts moving under the influence of a force (5i^+10j^)N(5\widehat{i}+ 10\widehat{j})N. After 2 s its position is (2xi^+5yj^)m(2x\widehat{i}+ 5y\widehat{j})m. The ratio x:yx:y is ____\_\_\_\_ .

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