What is the difference between uniform motion in a straight line and circular motion ?
Uniform linear motion | Uniform circular motion |
$(i)$ The body moves along a straight line. | $(i)$ The body moves around a circular path. |
$(ii)$ Acceleration js zero, as velocity remains constant. | $(ii)$ It is an accelerated motion, due to continuous change in velocity which happens due to change in direction. |
The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.
$(i)$ What is the distance travelled by the car in the first $2$ seconds ?
$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?
If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?
Can the displacement of a particle be zero when the distance travelled is not zero ?
Write true or false for the following statements
In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.
The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along straight road in the same direction, is shown. Calculate
$(i)$ the acceleration of car $A$ between $0$ and $8\, s$.
$(ii)$ the acceleration of car $B$ between $2\, s$ and $4\, s$.
$(iii)$ the points of time at which both the cars have the same velocity.
$(iv)$ which of the two cars is ahead after $8\, s$ and by how much ?