In your everyday life, you come across a range of motions in which
$(a)$ acceleration is in the direction of motion.
$(b)$ acceleration is against the direction of motion.
$(c)$ acceleration is uniform.
$(d)$ acceleration is non$-$uniform.
Can you identify one example each of the above type of motion ?
$(a)$ When the speed of a car on a road increases. the acceleration of the car is in the direction of motion.
$(b)$ When brakes are applied to a car in motion, its speed decreases. The acceleration produced in the car is against the direction of motion.
$(c)$ When a body is falling freely under the action of gravity, it has a uniform acceleration $g=9.8 m s ^{-2}$
$(d)$ When a car is passing through city limits on a highway, its acceleration $/$ retardation is non$-$uniform depending on the volume of traffic.
$(a)$ What is acceleration ? Write its $SI$ unit.
$(b)$ Draw velocity-time graph, when an object has
$(i)$ uniformly accelerated velocity
$(ii)$ uniformly retarded velocity.
Draw a velocity versus time graph for a body which starts to move with velocity $'u^{\prime}$ under a constant acceleration $'a'$ for time $t$. Using this graph derive an expression for distance covered $'S'$ in time $'t^{\prime}$
An artificial satellite is moving in a circular orbit of radius nearly $42.250 \,km .$ Calculate its linear velocity, if it takes $24$ hour to revolve round the earth.
What can you say about the motion of a body if its displacement$-$time graph is a straight line parallel to the time axis ?
A piece of stone is thrown vertically upwards. It reaches its maximum height in $3$ second. If the acceleration of the stone be $9.8\, m s ^{-2}$ directed towards the ground, calculate the initial velocity of the stone with which it is thrown upwards. Find the maximum height attained by it.