A cheetah can accelerate from rest at the rate of $4 m s^{-2}$
$(i)$ What will be the velocity attained by it in $10\, s$ ?
$(ii)$ How far will it travel in this duration ?
A cheetah can accelerate from rest at the rate of $4 m s^{-2}$
$(i)$ What will be the velocity attained by it in $10\, s$ ?
$(ii)$ How far will it travel in this duration ?
Intial velocity, $u=0$
Acceleration, $a=4 m s ^{-2}$
$(i)$ From the first equation of motion,
$v=u+a t$
$=0+4 \times 10$
$=40 m s ^{-1}$
$(ii)$ From the second equation of motion,
$S=u t+\frac{1}{2} a t^{2}$
$=0 \times 10+\frac{1}{2} \times 4 \times(10)^{2}$
$=200 m$
Similar Questions
Define velocity.
Define velocity.
If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?
If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?
The driver of a train $A$ travelling at a speed of $54\, km h^{-1}$ applies brakes and retards the train uniformly The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km h ^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot speed time graph for both the trains on the same paper. Also, calculate the distance travelled by each train after the brakes were applied.
The driver of a train $A$ travelling at a speed of $54\, km h^{-1}$ applies brakes and retards the train uniformly The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km h ^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot speed time graph for both the trains on the same paper. Also, calculate the distance travelled by each train after the brakes were applied.
The brakes applied to a car produce an acceleration of $6\, m s ^{-2}$ in the opposite direction of motion. If the car takes $2\, s$ to stop after the application of the brakes, calculate the distance it travels during this time.
The brakes applied to a car produce an acceleration of $6\, m s ^{-2}$ in the opposite direction of motion. If the car takes $2\, s$ to stop after the application of the brakes, calculate the distance it travels during this time.
$(a)$ What is acceleration ? Write its $SI$ unit.
$(b)$ Draw velocity-time graph, when an object has
$(i)$ uniformly accelerated velocity
$(ii)$ uniformly retarded velocity.
$(a)$ What is acceleration ? Write its $SI$ unit.
$(b)$ Draw velocity-time graph, when an object has
$(i)$ uniformly accelerated velocity
$(ii)$ uniformly retarded velocity.