A car moving with uniform acceleration covers T 450 meter in first 5 second interval and covers 700 meters in next 5 second interval. The acceleration of the car is

Q: The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in…

A: given speed of nerve impulse (v)=100 m/s Distance it has to travel (d)=1.60 m Required Time…

Q: The velocity of a particle travelling along the a straight line is v= (3t²-6t)m/ s, where t is in…

A:

Q: A typical sneeze expels material at a maximum speed of 44.9 m/s. Suppose the material begins inside…

A:

Q: A car in stop-and-go traffic starts at rest, moves forward 25min 8.0s, then comes to rest again.What…

A: The distance covered by the car in last 2.0 seconds can be calculated using given steps.

Q: The first stretch of a 100-meter dash are covered in 2.00 seconds by a sprinter who starts from rest…

A: Distance covered in first stretch, s = 100 m - 90 m = 10 mTime taken, t = 2 sAcceleration is…

Q: car is traveling along a straight road at a velocity of +27.4 m/s when its engine cuts out. For the…

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Q: A motorcycle has a constant acceleration of 5 m/s2. Both the velocity and acceleration of the…

A: Acceleration of the motorcycle, a=5 m/s2 The velocity at the time t=4 s is v=60 m/s

Q: A skier left a mountain 40 m long in 10 s, after which he rode along a horizontal platform to a stop…

A: The acceleration of skier is 0.8 m when it just left the mountain. The velocity when skier reach at…

Q: A moving object accelerates uniformly from 75 m/s at time t=0 to 135 m/s at t=10s. How far did it…

A: Given data:  Initial velocity at t = 0 s (Vi) = 75 m/s Final velocity at t = 10 s (Vf) = 135 m/s…

Q: In 2.2 s, a particle moving with constant acceleration along the x axis goes from x = 19 m to x = 56…

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Q: A car travels up a hill at a constant speed of 10.0m/s and goes down through the same path at a…

A: Given data:  Speed when car travels up a hill (V1) = 10.0 m/s Speed when car travels down the hill…

Q: A car is traveling along a straight road at a velocity of +33.8 m/s when its engine cuts out. For…

A: We are given initial velocity of car. We are given the final velocity. We are given 2 time intervals…

Q: (a) The velocity of a particle changes from vỊ = 28 + 5ŷ -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Initial velocity of the particle is Final velocity of the particle is The velocity changes from v1…

Q: For a gun to shoot a bullet, it must accelerate the bullet within its barrel from an unmoving state,…

A: Given data: Initial velocity (v0) = 0 m/s Final velocity (v) = 500 m/s Displacement (Δx) = 0.75 m…

Q: Two trucks are heading towards each other on opposite sides of a two-lane road. Truck A is moving…

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Q: A cyclist reaches the top of a hill at 5.0 m/s and travels downhill with a constant acceleration,…

A: Given: The initial speed of the cyclist at the top of the hill is 5 m/s. The final speed of the…

Q: (a) How far is the train in first 30sec? (b) What is the average velocity of the train for the…

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Q: A ranger in a national park is driving at 22.0 mi/h when a deer jumps into the road 180 ft ahead of…

A: The initial velocity of a ranger is, u=22 mi/hr=9.835 m/s The final velocity of a ranger is, v=0 m/s…

Q: A vehicle is running with uniform acceleration covers 450 m in a 5 second interval and further it…

A: Given data as per question initial distance  =  450m time  =   5s

Q: A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they…

A: (a) Time taken for the race is, DT=35 cm+DHvt=0.35 m+20vt-4 min0.12 m/st=0.35 m+200.12 m/st-240…

Q: An aircraft starts at rest and is accelerated for 14.4 seconds, at which time the aircraft launches.…

A: Here, Aircraft starts at rest, so, its initial velocity, u = 0 m/s Time of launch, t = 14.4 s…

Q: A baseball is hit with a bat and, as a result, its direction is completely reversed and its final…

A: Given values: Contact time,∆t=0.60 s Magnitude of initial speed,vi=v Magnitude of final speed,vf=v2

Q: An object moving along the x-axis initially has a velocity of 60 m/s, and is slowing down at the…

A: Given initial speed of object (u)=60 m/s Retardation acceleration (a)=-4 ms-2 Final speed (v)=0 m/s…

Q: A car travels in a straight line along a road. The car’s distance x from a stop sign is given as a…

A: (a) Given: The equation of position is xt=αt2-βt3 where α=1.50 ms2 and β=0.0500 ms3. Introduction:…

Q: The driver of a car slams on the brakes when he sees a tree blocking che road. The car slows…

A: Speed is the distance traveled per unit of time. Here, we calculate the given as follow;

Q: A bullet leaves a riffle with a muzzle velocity of 521m/s. While accelerating through the barrel of…

A:

Q: Nerve impulses in the human body travel at a speed of about 100 m/s. A 2.0 m tall man accidentally…

A: Given: The velocity of nerve impulse (v) = 100 m/s. Height of man (h) = 2.0 m.

Q: The driver of a truck slams on the brakes when he sees a tree blocking the road. The truck slows…

A:

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given:  final velocity, v = 0  initial velocity, time, t  = 3 s

Q: An Osprey can fly horizontally (not diving) at a maximum speed of 70.0 km/hr. The bird takes off…

A: Converting the velocities  in m/s of =  70 km/h= 7000/3600=1.944m/s acceleration=a= 1.21m/s2    and…

Q: n ant moves with a uniform acceleration. It has a velocity of 12.0 cm/s in the positive x direction…

A: The velocity is always changing; there is always nonzero acceleration and the problem says it is…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then…

A: Given value--- first covered distance = 89 m. second cover distance ÷ 152 m. total taken time =…

Q: A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects…

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Q: An object slows down from a velocity in the positive direction of 60mi/h to 25mi/h over the course…

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Q: At a certain time a particle had a velocity of 18 m/s in the positive x-direction, and 2.4 s later…

A:

Q: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows…

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Q: Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they…

A:

Q: a bus is travellung with a uniform velocity of 20 m/s. at the instant it passes a car at rest, the…

A: velocity of bus = 20m/s acceleration of car = 4m/s2 Initial velocity of car = 0 Over take in time t

Q: Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing…

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Q: A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00…

A: a) 1 For the first spell of the journey the car starts from rest at t = 0 acceleration a = 1.81 m/s2…

Q: A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a…

A: Given data, Initial Speed (u)=10 m/s Final velocity (v)=12.5 m/s Time period ∆t= 3 s Radius of the…

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 –