GATE AE 2026 Paper 1 — page 17

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Consider the differential equation with the initial conditions given below. If

is the solution of the equation, the value of the slope,

, at

is ________ (rounded off to three decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An object of mass 1 kg is launched with an initial speed of

into a large tank filled with a viscous liquid. The liquid exerts a resistive force (drag) of the form

on any object that is moving inside it, where

is the instantaneous speed of the object and

kg/s. If the effect of gravity is ignored, the time taken by the object to slow down to the speed

is ________ s (rounded off to 2 decimal places).

Assume that the tank is sufficiently large for the above deceleration to happen inside the tank.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The minimum value of the function

for real

is ________ (rounded off to 1 decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2026 · Paper 1