# Recent questions and answers in Motion in a Straight Line

### A total of $\$10000$is distributed among$150$person as gift. A gift is either of$ \$50$ or $\$100$. Find the number of gifts of each type. ### A 150 m long train is moving with uniform velocity of 45 km/h. The time taken by train to cross the bridge of length 850 m is ? ### A body covers a certain distance x in equal thirds - the first third of distance with speed v$_1$, the second third with a speed of v$_2$and the last third with a speed of v$_3$. What is the average speed of the body over time? ### From the top of a building 40 m tall, a ball a thrown vertically upwards with a velocity of$10\; ms^{-1}$After how long will the ball hit the ground? ### A 150m long train is moving with uniform velocity of 45km / h. The time taken by train to cross the bridge of length 850m is ? ### Dhoni throws his bat vertically upwards with an initial velocity of$26.2\;m/s$Determine the height to which the bat will rise above its initial height. ### A feather is dropped on the moon from a height of$1.40\; meters$. The acceleration of gravity on the moon is$1.67 m/s^2$. Determine the time for the feather to fall to the surface of the moon ### Raju drops a pile of marbles from the top of a roof located$8.52\;m$above the ground. Determine the time required for the marbles to reach the ground . ### A body moving in a straight line covers a distance of$14 m $in the 5th second and 20 m in the 8th second. How much distance will it cover in the 15th second ? ### A marble rolls across a flat surface. Its initial speed is 41 m/s but it comes to rest after 10 seconds . Find the acceleration of the marble and the distance traveled by the marble as it comes to rest. ### A car acceleration from rest at a constant rate$\alpha$for some time after which it decelerates at a constant rate$\beta$to come to rest. If t is the total time elapsed , then the maximum velocity attained by the car is ### An electron starting from rest has a velocity that increases linearly with time i.e$v= kt$where$k=2\;m\;s^{-2}$. The distance covered in the first 3 second is ### A steel ball is bouncing up and down on a steel plate with a period of oscillation of 1 second. If$g= 10\;ms^{-2}$, then if bounces up to a height of ### A body travelling with uniform acceleration crosses two points A and B with velocities$20\;ms^{-1}$and$30 \;ms^{-1}$respectively . The speed of the body at the mid-point of A and B is ### A bus starts from rest with an acceleration of$ 1\;ms^{-2}$A man who is$48\;m$behind the bus starts with a uniform velocity of$ 10\;ms^{-1}$. The minimum time after which the man will catch the bus is ### A stone is allowed to fall from the top of tower 100 metre high and at the same time another stone is projected vertically upwards from the ground with a velocity of$25\;ms^{-1} $. The two stones will meets after ### The distance through which a body falls in the nth seconds is h. The distance through which it falls in the next seconds is ### A stone is thrown upwards with velocity v. At half the height, its velocity is ### A ball is thrown vertically upwards from the top of a tower of height h with velocity v. The ball strikes the ground after ### A small block slides without friction down an inclined plane starting from rest. Let$S_n$be the distance travelled from time$t- n-1$to$t=n$. Then$\large\frac{S_n}{S_{n_1}}$is ### A car travelling on a straight road at$15.0$meter per second accelerates uniformly to a speed of$21.0$meters per second in$12.0 \;second$. The total distance traveled by the car in this$12.0 $second time interval is ### An astronaut standing on a platform on the Moon drops a hammer. If the hammer falls$6.0 $meters vertically in$2.7 \;seconds$, what is its acceleration ? ### A dart is thrown at a target that is supported by a wooden backstop. It strikes the backstop with an initial velocity of$350\;m/s$The dart comes to rest in$0.0050\;s$What is the acceleration of the dart ? ### A sailboat acceleration uniformly from$6.0\;m/s$to$ 8.0 [N]$at a rate of$0.50\;m/s^2$. What distance does the boat travel ? ### A sports car approaches a highway on-ramp at a velocity of$20.0\;m/s $. If the car accelerates at a rate of$3.2 \;m/s^2 $for$5.0\;s$, What is the displacement of the car ? ### A car is moving at a speed$50 \;km /h$two seconds there it is moving at$60 \;km/h$Calculate the acceleration of the car. ### A car starts from rest , moves with an acceleration$a$and then decelerates at$b$for some time to come to rest. If the total time taken is t, the maximum velocity is ### A car staring from rest acceleration at the rate$f$through a distance$S$, then continues at constant speed for time$t$and then decelerates at rate$\large\frac{f}{2}$to come to rest. If the total distance covered is$15\;s$, then ### The relation between time t and distance$x$is$t= ax^2+bx$where a and b are constants . The acceleration is ### The position of a particle as a function of time is given by equation:$x =2t^3-6t^2+12t+6$. The acceleration of the body is zero at ### The position of a particle moving along the$x$-axis ($x$is in$m$) is given by$x = t^3 - 3t^2 + 2t$. Find the average speed of the particle in the interval$t=2\;s \rightarrow t = 4\;s$### The position of a particle moving along the$x$-axis ($x$is in$m$) is given by$x = t^3 - 3t^2 + 2t$. Find the velocity of the particle at$t=2\;s$. ### A body travels first half a distance with velocity v$_0$. The remaining distance was covered with velocity v$_1$for half the time and v$_2$for the remaining time. Find the average velocity over the whole time of motion? ### Consider the following one-dimensional motion. A ball thrown directly upward rises to a highest point and falls back into the throwerâ€™s hand. Which of the following statements are true? ### Consider the following one-dimensional motion.A spacecraft drifts through space at constant velocity. Which of the following statements are true? ### Consider the following one-dimensional motion. A race car starts from rest and speeds up to 100 m/s. Which of the following statements are true? ### A ball is dropped from the roof of a building . An observer notes that the ball takes$0.1$s to cross over a window 1 m in height . After crossing the window , the ball takes another 1.00 s to come to the bottom of the building . What is height of the building and how high is the window. Take$g=10 ms^{-2}$### A body X is dropped from a vertical height of 200 m. Exactly at the same instant another body -Y is projected vertically upwards with a velocity of$100 ms^{-1}$. When and where the two bodies X and Y meet? ### Drops are falling at regular intervals of time from the roof of a building 16 m high. If the first drop reaches the ground at the instant the fifth drop start falling, find the heights of the various drops at the instant the first drop reaches the ground ? ### A juggler is maintaining four balls in motion, making each in turn to rise to height of 20 m.Where will other three balls be at the instant, When one is just leaving his hand?$g= 10ms^{-2}$### A juggler is maintaining four balls in motion, making each in turn to rise to height of 20 m. With what velocity does he project them ? ### A body is projected vertically upward with a velocity$20 ms^{-1}$. Find the distance travelled by it in 3 s. Take$g=10ms^{-2}$. ### A particle is projected vertically up and it reaches a 15 cm high mark at certain instant. After 4 seconds from this instant the particle crosses this mark again in its downward journey. What is the initial velocity of projection of this particle?$(g= 10 ms^{-2})$### A body travels 2 m in the first two seconds and$2.2 \;m$in the next four seconds. What will be its velocity at the end of the seventh second from the start, if acceleration is constant . ### A Car is able to stop with a uniform retardation of$8 ms^{-2} $and the driver of the car can react to an emergency in 0.6 s. Calculate overall stopping distance of the car if the speed of car is$72 \;km\;h^{-1}\$

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