NEET UG PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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Analyzing +4 | -1

An object is moving in the

x-y

plane with the position as a function of time given by

\vec{r}=x(t) \hat{i}+y(t) \hat{j}

. Point

O

is at

x

=0, y=0

. The object is definitely moving towards

O

when

View answer and explanation

Correct option: C

x v_x+y v_y < 0

Option C (

x v_x+y v_y < 0

) is correct because this condition implies that the dot product of the position vector and the velocity vector is negative, indicating that the angle between them is greater than 90 degrees, hence the object is moving towards the origin.

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Velocity-time curve for a body projected vertically upwards is Two cars A and B approach each other at the same speed, then what will be the velocity of A if velocity of B is

8 \mathrm{~m} / \mathrm{s}

? Two cars are moving in the same direction with a speed of

30\mathrm{km}{\mathrm{h}^{ - 1}}

. They are separated from each other by 5 km. Third car moving in the opposite direction meets the two cars after an interval of 4 min. What is the speed of the third car? A body is projected vertically up with ‘u’. Its velocity at half its maximum height is A scooter starts from rest have an acceleration of

1 \mathrm{~ms}^{-2}

while a car

150 \mathrm{~m}

behind it starts from rest with an acceleration of

2 \mathrm{~ms}^{-2}

. After how much time, the car catches up with the scooter? A motor vehicle travelled the first one third of a distance ‘S ’ at a speed of

{V_1} = 10\,kmph

, the second one third at a speed of

{V_2} = 20\,kmph

and the last one third at a speed of

{V_3} = 60\,kmph

determine the mean speed of the vehicle over the entire distance ‘S ’