A spy jumps from an airplane with his pasrachute. The spy accelerates downward for some time when the parachute opens. The acceleration is sudenly checked and the spy slowly falls on the ground. Explain the action of parachute in checking the acceleration.

In the climax of a movie, the hero jumps from a helicopter and the villain chasing the hero also jumps from the same level . After sometime when they come at same horizontal level, the villain fires bullet horizontally towards the hero, Both were falling with constant acceleration 2(m)/(s^2), because of parachute, Assuming the hero to be within the range of bullet, which of the following is correct.

A ballon starts rising from ground from rest at some constant acceleration. After some time, a storne is dropped from it. If the stone reaches the ground in the same time in which balloon reached the dropping poing from ground, find the acceleration of the balloon.

A balloon starts from rest from the ground and moves with uniform acceleration g/8. When it reaches a height h a ball is dropped from it. Find the time taken by the ball to reach the ground.

A lift accelerates downwards from rest at rate of 2 m//s^(2) , starting 100 m above the ground. After 3 sec, an object falls out of the lift. Which will reach the ground first? What is the time interval between their striking the ground?

A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when is at a height h. The time taken by the packet to reach the ground is close to [ g is the acceeration due to gravity] :

A balloon rises from rest on the ground with constant acceleration g / 8. A stone is dropped from the balloon when the balloon has risen to a height of (H). Find the time taken by the stone to reach the ground.

a. Mark the follllowing statements as true offalse. i. A ball thrown vertically up takes moretime to go up than to come down. ii. If a ball starts fallig from the position of rest, then it travels a distance of 25 m during the third secons of tis fall. iii. A packet dropped from a rising balloon ferst moves upwards and then moves sownward as observed by a stationary observer on the ground. iv. In the absence of air resistance, all bodies fall on the surface of earth at the same rate. b. Fill in the blanks. i. When a body is thrown vertically upwards, at the highest point.........................(both belocity and accelenation are zero//only velocity is zero//ony acceleration is zero). ii. If air drag is not neglected, then which is greater: time of ascent or time of descent? iiii. A body is projected upward. Up to the maximum height time taken will be greater to travel...................... (first half//second half).

At t=0 , a body starts from origin with some initial velocity. The displacement x(m) of the body varies with time t(s) as x=-(2//3)t^2+16t+2 . Find the initial velocity of the body and also find how long does the body take to come to rest? What is the acceleration of the body when it comes to rest?

An inquistive student, determined to test the law of gravity for himself, walks to the top of a building og 145 floors, with every floor of height 4 m, having a stopwatch in his hand (the first floor is at a height of 4 m from the ground level). From there he jumps off with negligible speed and hence starts rolling freely. A rocketeer arrives at the scene 5 s later and dives off from the top of the building to save the student. The rocketeer leaves the roof with an initial downward speed v_0 . In order to catch the student at a sufficiently great height above ground so that the rocketeer and the student slow down and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by rocketeer's jet pack, which he turns on just as he catches the student, before the rocketeer is in free fall. To prevent any discomfort to the student, the magnitude of the acceleration of the rocketeer and the student as they move downward together should not exceed 5 g. Just as the student starts his free fall, he presses the button of the stopwatch. When he reaches at the top of 100th floor, he has observed the reading of stopwatch as 00:00:06:00. What should be the initial downward speed of the rocketeer so that he catches the student at the top of 100 the floor for safe landing ?

An inquistive student, determined to test the law of gravity for himself, walks to the top of a building og 145 floors, with every floor of height 4 m, having a stopwatch in his hand (the first floor is at a height of 4 m from the ground level). From there he jumps off with negligible speed and hence starts rolling freely. A rocketeer arrives at the scene 5 s later and dives off from the top of the building to save the student. The rocketeer leaves the roof with an initial downward speed v_0 . In order to catch the student at a sufficiently great height above ground so that the rocketeer and the student slow down and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by rocketeer's jet pack, which he turns on just as he catches the student, before the rocketeer is in free fall. To prevent any discomfort to the student, the magnitude of the acceleration of the rocketeer and the student as they move downward together should not exceed 5 g. Just as the student starts his free fall, he presses the button of the stopwatch. When he reaches at the top of 100th floor, he has observed the reading of stopwatch as 00:00:06:00 (hh:mm:ss:100 th part of the second). Find the value of g. (correct upt ot two decimal places).