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. : "Motion_1D"

kinematics

(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…

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Average Acceleration

(On request - Adivhaho Phophi)

Q- The particle's velocity moving along the x-axis varies according to the expression velocity = 50 - 10 t². Find the average acceleration in the time interval t = 0 to t = 2.0 seconds.

Solution:

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Motion Under Gravity

(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 …

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Kinematics: Motion in one dimension

(On request - Medhansh)

Q- A stone weighing 3kg falls from the top of a tower 100m high and buries itself 2m deep in the sand. What is the time of penetration.

Solution:

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Motion in 1D:

(On request - Tamanna)

Q- A falling flowerpot takes 0.20 s to fall past a window that is 1.9 m tall. From what height above the top of the window was the flowerpot dropped? 

Solution:

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Motion in one dimension

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…

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Motion in 1 D: Relative velocity

(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…

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Motion under gravity

(On request- Nick)

Q- A ball is thrown straight up at a speed of 20m/s. On its way down, the ball is caught 5m above from where it was thrown. 
a. How fast is the ball moving when it is caught? 
b. How long is the ball in the air? 

Solution:

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Motion in 1D

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 …

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Motion in 1D

Q- A stone is thrown vertically upward with a speed of 12.0 m/s from the edge of a cliff 70.0 m high.

(a) How much later does it reach the bottom of the cliff?

(b) What is the speed just before hitting?

(c) what is the total distance traveled?

Solution:

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Motion in 1D

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…

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Motion in 1D - Variable acceleration

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…

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Motion in 1D - Variable Force

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 …

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Motion in 1D

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

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Motion in 1D with Variable Mass and Air Resistance

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 …

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Motion In 1 D

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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