Draw graphs $a \to t$,$v \to t$,and $x \to t$ for an object falling freely.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For an object falling freely,the acceleration is constant and equal to $-g$. Thus,graph $(a)$ shows the constant acceleration with respect to time $(a \to t)$.
The velocity of an object falling freely is given by $v = -gt$. This represents a linear relationship with time,as shown in graph $(b)$ for $v \to t$.
The displacement of an object falling freely is given by $x = -\frac{1}{2}gt^2$ (taking downward as negative). This represents a parabolic relationship with time,as shown in graph $(c)$ for $x \to t$.

Explore More

Similar Questions

Two balls $A$ and $B$ are thrown with the same velocity $u$ from the top of a tower. Ball $A$ is thrown vertically upwards and ball $B$ is thrown vertically downwards. Choose the correct statement.

$A$ body projected vertically upwards crosses a point twice in its journey at a height $h$ after $t_1$ and $t_2$ seconds. The maximum height reached by the body is

$A$ ball is thrown upward with speed $10 \, m/s$ from the top of a tower and reaches the ground with a speed $20 \, m/s$. The height of the tower is ......... $m$. (Take $g = 10 \, m/s^2$)

$A$ ball is thrown up vertically with a certain velocity so that it reaches a maximum height $h$. Find the ratio of the times at which it is at height $\frac{h}{3}$ while going up and coming down respectively.

Two bodies of different masses $m_a$ and $m_b$ are dropped from two different heights $a$ and $b$. The ratio of the time taken by the two to cover these distances is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo