(Requested by Merjan)
Q – Two cars were moving on parallel lanes in one direction. One car had speed 60 km/hour, while the other had speed of 65 km/hr. At time 8:30 AM, the distance between the cars was 8 km.
(a) How far a way from each another the were at 9:20 AM that day?
(b) At what ti…
(On request - Bella)
Q- A child (20 kg) is lying on his hospital bed with the side railings down. The patient turns sideways and starts to fall off his bed, which is 1.2 m tall. The healthcare professional sees the patient falling and attempts to break the fall by throwing a pillow on the floor …
Q- A lift starts ascending with a constant acceleration of 4m/s2, then with a constant velocity v and finally stops under a constant retardation of 4m/s2. If the total height ascended is 40 m and the total time taken is 7 s, what is the time during which the lift moves with constant velocity v and w…
(On request - Ritik)
Q- Two towns A&B are connected by a regular bus service with a bus leaving in either direction every T min. A man cycling with a speed of 20 Km/hr in the direction A to B notices that a bus goes past him every 18min in the direction of his motion, and every 6 min in the opposit…
Q- In reaching her destination, a backpacker walks with an average velocity of 1.07 m/s, due west. This average velocity results, because she hikes for 5.36 km with an average velocity of 2.37 m/s due west, turns around, and hikes with an average velocity of 0.748 m/s due east. How far east did she …
Q- A police car is traveling at a velocity of 18.0 m/s due north, when a car zooms by at a constant velocity of 41.0 m/s due north. After a reaction time 0.900 s the policeman begins to pursue the speeder with an acceleration of 4.00 m/s2. Including the reaction time, how long does it take for the p…
Q- At t=0, car A starts from rest at point 1. It moves towards the right with an acceleration of 0.4t m/s2. At the same time car B starts from point 2, 200 m ahead of A, with a constant acceleration of 2 m/s2 to the right. Find:
a) Speed of car A at the end of 200 m section.
b) Time to travel of s…
Q- A snowmobile weighing 1000 lbs starts from rest, coasts down a 50 incline. If the force of friction opposing the motion is 40 lbs and the air resistance in pounds is numerically equal to 1.5 times the speed in feet per second, find:
a) An expression of the acceleration
b) An expression for the …
Q- A rocket rises vertically from rest, with an acceleration of 3.2 m/s2 until it runs out of fuel at an altitude of 1200 m. After this point, its acceleration is that due to gravity:
(a) What is the velocity of the rocket when it runs out of fuel
(b) How long does it take it to reach this point
Q- A raindrop is observed at time t=0 when it has mass m and downward velocity u. As it falls under gravity its mass increased by condensation at a rate k and a resisting force acts on it proportional to its speed and equal to kv when the speed is v. Show that
d(M2 v)/dt =M2g, where M = m +kt.
(On …
Q- A man travels 50 miles. He spends half his time on horseback and half his time walking. When he rides horseback he travels 9 miles/hour, on foot 3.5 miles/hour. How long will it take him to complete his journey? How many miles does he travel by horse? How many miles does he travel on foot?(On req…
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