A boy throws a disc in the air with a velocity of $11\ m/s$ at an angle of $60^°$ with the horizontal. The initial velocity vector is $\overrightarrow{v_i}$, and the final velocity vector is $\overrightarrow{v_f}$. The difference between the initial and the final velocity vector is equal to,

Look at the below velocity-time graph for an object moving in 1D.

Which of the below statements is TRUE?

A stone is thrown off an incline as shown in the figure.

At what height above the incline is the stone when it is again on the same horizontal level as the initial point?

A marble is confined to move along a line. It starts moving from the point $x = 4 \ m$ and travels to the right until it hits a wall at $x = 10 \ m$ and reverses direction. Now, the marble travels to the left until it reaches the point $x=- 3 \ m$, where it gets stuck in a hole. What is the difference in the magnitude of average velocity and average speed if it takes $10 \ seconds$ to move from $x = 4 m$ to $x = – 3 \ m$?

Let $(x,y)$ denote the coordinates of a projectile starting at the origin of a coordinate system with a speed of $1\ m/s$ and at an angle of $45^°$ with the $x$-axis. Neglecting air drag, the equation satisfied by $x$ and $y$ is of,

Which of the below velocity-time graphs shows an average acceleration greater than $2\ m/s^2$?

If the average acceleration of a particle is $0\ m/s^2$, then which of the below conclusions is false?

Alexa throws two stones, who is standing on a building of height $10\ m$. She throws the 1st stone upward with a velocity of $10\ m/s$ and the 2nd stone to the right with a speed of $20\ m/s$. Which stone will have a greater vertical component of the velocity when they reach the ground? (Assume that the mass of the 1st stone is greater than the mass of the 2nd stone.)

Questions 9 and 10 are based on the below information.

A bicycle moves along a straight path according to the graph shown below.

Why is the distance covered by the bicycle greater than the displacement?

A bicycle moves along a straight path according to the graph shown below.

Which of the below graphs shows the acceleration of the bicycle?

An object starting from rest at $x=0 \ m$ is moved at an acceleration of $a= 4 \ m/s^2$. If the particle moves for time $t$, then what is the relationship between the displacement of the object $x$ and time $t$?

$0.5+t^2$

Correct Incorrect Correct answer

$2t^2$

Correct Incorrect Correct answer

$\dfrac{1}{2} t^2$

Correct Incorrect Correct answer

$t^2$

Correct Incorrect Correct answer

What is the velocity of $A$ as seen by $B$?