Kinematics and Projectile Motion Practice Flashcards

Fill-in-the-blank practice flashcards covering basic kinematics concepts, uniform acceleration equations, projectile motion derivations, and relative velocity numericals.

The branch of mechanics which deals with a body at rest is called __________.

Static

The branch of mechanics which deals with the study of the motion of objects without taking into account the cause of motion is called __________.

Kinematics

The branch of mechanics which deals with the study of the motion of objects while taking into account the cause of motion is called __________.

Dynamics

The shortest distance between two points is defined as __________ and is a vector quantity.

displacement

The rate of decrease of velocity is defined as __________ or deceleration.

retardation

The formula for distance traveled in the $n^{\text{th}}$ second is $S_{n\text{th}} = u + \frac{a}{2}$__________.

$$(2n - 1)$$

In a velocity-time graph representing uniform acceleration, the acceleration of the body is equal to the __________ of the line $AB$.

slope

An object dropped from the top of a tower of height $156.8\,\text{m}$ and another thrown upward simultaneously at $78.1\,\text{m/s}$ will meet after __________.

$$2\,\text{Sec}$$

A car traveling at $15\,\text{m/s}$ slows down uniformly to $7\,\text{m/s}$ over a distance of $88\,\text{m}$, experiencing a retardation of __________.

$$1\,\text{m/s}^2$$

In projectile motion, acceleration due to gravity acts in the __________ direction only, keeping horizontal velocity constant.

vertical

The path traced by a projectile fired at an angle with the horizontal is __________.

parabolic

The total time of flight $T$ for a projectile thrown at an angle (\theta) with initial velocity $u$ is $T =$ __________.

$$\frac{2u \sin(\theta)}{g}$$

The horizontal range $R$ of a projectile is maximum when it is fired at an angle of __________ with the horizontal.

$$45^\circ$$

The angle of projection at which the horizontal range $R$ equals the maximum height $H_{\text{max}}$ is __________.

$$75.96^\circ$$

For a horizontal projectile thrown from height $h$, the expression for time of flight $T$ is $T =$ __________.

$$\sqrt{\frac{2h}{g}}$$

If a swimmer moves downstream at $20\,\text{km/h}$ and upstream at $8\,\text{km/h}$, the velocity of the stream is __________.

$$6\,\text{km/h}$$