A body falls in a medium offering resistance proportional to the speed at any time. If the limiting speed is 15 m/s and if the body attains half that speed in 1 sec, what was the initial speed?

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

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Q: B 450 T2 і 60° A T,

A: weight of traffic light (w) = 27 poundsθ1 = 60oθ2 = 45o

Q: If the speed at x = 1, v(x = 1) = 3 m/s then the speed at x 0, v(x=0) is:

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Q: What is the final velocity of a freight train that accelerates at a rate of 0.0852 m/s for 8.25 min,…

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Q: A car starts from rest and goes down a slope with a constant acceleration of 5 m/s2. After 10 s the…

A: In the given problem the acceleration is constant so the Newton's law of motion can be used to…

Q: An object with a mass of 10 kilograms slides down an inclined plane with an angle theta=30 degrees.…

A: To be given,mass of object, m=10 kgangle θ= 30°coefficient of friction =0.2

Q: 18. Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town…

A: Given data The mass of the star is m=5 kg The free-body diagram star is as shown below is, The…

Q: A person whose weight is 520 N is being pulled up vertically by a rope from the bottom of a cave…

A: Given: The weight of the person is 520 N. The tension in the rope is 569 N. Depth of the cave is…

Q: A 6.2 kg object is pulled along a horizontal surface by a force of 22.0 N.  If the acceleration of…

A: If a body is moving with a force F  to a particular direction the frictional force acts on the…

Q: A 5-kg object is thrown downward with an initial velocity of 4 m/s from the top of a tall| building.…

A: given: mass of object m =5 kg initial velocity u = 4m/s air resistance FR =2v

Q: The coefficient of friction between a 33kg exercise mat and the gym floor are us = 0.41 and uk =…

A: Givenμs =0.41μk =0.36m =33 kg

Q: A jogger runs 10 km in 45 minutes, rests for 10 minutes, and then runs another 8 km in 1 hour. The…

A: Given Data :               Distance traveled by jogger in first 45 minutes (d1) = 10 km = 10×103 m…

Q: An Olympic-class sprinter starts a race from rest with an acceleration of 3.7 m/s^2. What is her…

A: Given,  u = 0 m/s (initially at rest)  a = 3.7 m/s2 (acceleration)  t = 1.7 s  As we know, from…

Q: Moving at a speed of 20 m/s, a tricycle carrying a civil engineer begins slow at a constant rate of…

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Q: A 747 airliner reaches its takeoff speed of 152 mi/h in 35.5 s.

A: The expression for find average acceleration is aavg=v-ut

Q: A 1000-kg automobile enters a freeway on-ramp at 20 m/s and accelerates uniformly up to 40 m/s in a…

A: First of all we have to calculate the acceleration of the automobile. Acceleration of an object is…

Q: A block of mass 3.47 kg starts from rest and travels in a straight line. It reaches a distance 2.67…

A: Initial velocity u = 0  Final velocity v = 7.59 m/s  Displacement = 2.67 m

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Q: How long does it take a hiker to walk 7.0 miles if her average speed is 2.0 miles per hour

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Q: An elevator weighing 22.200 kN moving downward with constant acceleration travels a distance of 30 m…

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Q: A person jogs 4.0 km in 32 minutes, then 2.0 km in 22 minutes, and finally 1.0 km in 16 minutes.…

A: A person jogs 4.0 km in 32 minutes. So, d1=4.0 kmt1=32 min then the person jogs 2.0 km in 22…

Q: A stone is thrown with an initial upward velocity of 39.7m/s and experiences negligible air…

A: we use the formula v=u-gt

Q: Nerve impulses in the human body travel the speed of about 100 M Dash S. A 1.6 M tall man…

A: Given that,  speed = 100 m/sHeight of tall man = 1.6 mWe know that,distance = velocity x timeSo,…

Q: A train starting from a railway station and moving with uniform acceleration attains a speed 40 km h…

A: Write the given values with the suitable variables. u=0 m/sv=40 km/hr=40×10003600 m/s=11.11 m/st=10…

Q: A boy standing on a stationary lift (open from above) throws a ball upwards with maximum initial…

A: Let t be the time taken by the ball to reach the maximum height. The time taken by the ball to…

Q: A penny is dropped from rest from the top of the Willis (Sears) Tower in Chicago. Considering that…

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Q: The tension on the string is: a.greatest in I b.greatest in III c.least in I d.least in III…

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Q: At time t seconds, the velocity (in m/s) of a bead sliding on a wire is given by the equation: v (t)…

A: solution as

Q: 12. A particle of mass m falls against a resistance of magnitude kv where vis the velocity and k is…

A: Resistance=Rmass=mvelocity=vpositive constant=kR=-mkv2Write the given values of this problem.

Q: A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension…

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Q: A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by…

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Q: A bicycle accelerates from rest at a constant rate of 2.12 [m/s*] for 15.0 [s]. It then ran at a…

A: Given data:  Initial velocity (v0) = 0 m/s Acceleration (a) = 2.12 m/s2  For time (t) = 15.0 s Then…

Q: A body falls freely from rest. Find the following: a. Its acceleration. b. The distance it falls in…

A: Given: A body falls freely rest, its initial velocity, u = 0 m/s   Solution: a. Since, the body is…

Q: A body falls vertically from the height h = 45 metres with its initial velocity equal to zero. What…

A: Given data: The initial velocity is u=0 m/s. The vertical height is h=45 m.

Q: An object is thrown vertically upward with a speed of 12 m/s. How much time passes before it reaches…

A:

Q: Without turning around, a dog walks along a long straight path for 4.0 m at 3.0 m/s and then for 2.0…

A: Given data: Case 1: Speed (v1) = 3 m/s Distance (d1) = 4.0 m Case 2: Speed (v2) = 6 m/s Time(t2)= 2…

Q: A bullet shot straight up returns to its starting point in 10 s. What is the initial speed of the…

A: As the time of ascent is equal to the time of descent, thus, the time taken by a bullet to reach the…

Q: Speed of a train is 20 meters per second. It can cross a pole in 10 seconds. What is the length of…

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Q: An automobile starting from rest speeds up to 72 kph with a constant rate of 4 m/s', runs at this…

A: Given data u=0V=20 m/sa=4 m/s2a=-5 m/s2

Q: The cable supporting a 2125-kg elevator has a maximum strength of 21,850 N. What maximum upward…

A: Strength, Fmax = 21850 N Mass of the elevator is m = 2125 kg Suppose that upward acceleration is…

Q: How far (in meters) will the block move in 5.0 s? Recall that it starts from rest.

A: The components of the force F1 is as follows: F1x=F1cosθ1F1x=4.0 Ncos25°F1x=3.62 N…

Q: What magnitude of force is required to cause a 200kg car to change speed of 24 m/s to 8 m/s in a…

A: Given : Mass of a car (m) = 200 kg Initial speed (vi) = 24 m/s Final speed (vf) = 8 m/s Time (dt) =…

Q: You drive 6.0 km at 50 km/h and then another 6.0 k at 90 km/h. Your average speed over the 12km…

A: The speed is the ratio of distance over time,  For the first 6.0 km the speed is 50 km/h, so the…

Q: A stone takes 6.00 s to hit the beach after falling from the top of a cliff. Ignoring air friction,…

A: Given here,time taken, t=6 s from the second equation of motion,             S = ut + 12at2

Q: A train is travelling at a speed of 90 km h–1. Brakes are applied so as to produce a uniform…

A: Given : initial velocity (u) = 90 km/hour = 25 m.s-1 Terminal velocity (v) = 0 m.s-1 Acceleration…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –