A bicyclist is moving in an eastward direction and slowing down. What are the directions of the velocity and acceleration vectors?

Q: Bradley maintains a heading due east with an air speed of 320km/h. After flying for 45 min, he finds…

A: When speed is constant then distance travelled by an object in time 't' is given by  S=vtWhere S…

Q: A particle is moving in the i- j plane with an acceleration of (1 – t)į +tj where t is the time. The…

A: Given: a=1-ti+tj∫a·dt=vwhere, v is velocity…

Q: A rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104 m/s. The…

A: Given, A rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104…

Q: A 425 m wide river flows North at  2.0 m/s. A turtle points himself directly East and swims at 8.0…

A: as the river as flow in north direction  and turtle goes in easy direction to cross river  so the…

Q: A swimmer who can consistently keep the same pace to cover 50 meters in 8.41 seconds sets out to…

A: Given: Speed of current of river vrg=2.94 m/s Swimmer maintain pace to cover 50 m. in 8.41 s.

Q: Problem 3. A projectile is launched from an initial coordinate of (0, 0) with an initial velocity of…

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Q: Imagine that a car is traveling from your left to your right at a constant velocity. Which two…

A: The accelerator of a car changes the velocity of the car. And breaks will decrease the velocity of…

Q: A javelin thrower launches the javelin with a vertical velocity of 5 m/s and a horizontal velocity…

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Q: child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to…

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Q: At time t=0, a jogger is heading due east with speed v=1.4 m/s. At time t1=3.0s, she is heading 0=42…

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Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

A:

Q: components

A: Given: Speed of throwing stone = 21.5 m/s Height of the cliff = 39 m

Q: Acceleration is a rate of change of velocity.     Average velocity is the rate at which an object…

A: Acceleration is a rate of change of velocity. (Correct)           Acceleration (a) = dv/dt…

Q: Take Earth to be the object of reference. Two people start and end their trips at different…

A: Given:Initial position of the first person = -20 mFinal position of the first person = 30 mInitial…

Q: Sean is a kicker for a college football team and is practicing kicking for an upcoming game. On one…

A: We ae given a kicker kicking the football. We are given initial velocity with which the ball is…

Q: In the x direction, an object has an initial velocity component of 4.98 m/s and an acceleration of…

A: We are given with initial components of velocity and components of acceleration in x and y…

Q: A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one…

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Q: a dog is sitting at an initial position of d, = (53 m north, 12 m east) from her home. she moves in…

A: Given: The initial position of the dog from her home is di = (53 m north, 12m east) The final…

Q: A sailboat is traveling east at 8.5 m/s. A sudden gust of wind gives the boat an acceleration a =…

A: The initial velocity of the sailboat is 8.5 m/s in east direction. The acceleration of the sailboat…

Q: You walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A: Let's assume X-axis along the east direction and Y-axis along north direction. Take, east and north…

Q: A curvilinear path is given as e¬* x² + y³ /27 = 27 . A particle is moving on this path at a…

A: Given:  e-xx2+y327 = 27 Speed of particle = 8 m/s We have to find velocity vector when y = 3

Q: An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i…

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Q: A long jumper leaves the ground with an initial velocity of 16 m/s at an angle of 45° from the…

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Q: A racecar is headed directly west at 58.0 m/s as it approaches a sharp turn. After the turn, the car…

A: Given: Initial velocity of racer car = 58m/s Final velocity of racer car = 37.2 m/s Time t =5.50 s

Q: 14. 14.

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Q: A rocket starts at rest on a launchpad.  At t = 0 the rocket has a constant acceleration of a= 25…

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Q: A horse canters away from its trainer in a straight line traveling due west, moving 250 m away in…

A: Distance is a total length travelled of a moving object. It is a scalar quantity and only requires…

Q: The application of physics is everywhere. In school, physics applications can be seen in other…

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Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: A woman walks 2.05 km south and then 2.75 km east, all in 2.60 hours. (a)What is the magnitude (in…

A:

Q: A softball player hits the ball and starts running toward first base. Draw a motion diagram, using…

A: The mass of the moving object is concentrated at a single point is represents the particle model.

Q: A projectile is launched with an initial velocity of 49.8 m/s at an angle of 25.4 degrees with…

A: Given data:  Initial velocity (u) = 49.8 m/s Angle (θ) = 25.4°, with the horizontal  Required: The…

Q: The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C-Bt², where 1 =…

A: Given: The coordinate of the bee in the xy plane is.  xt=At…

Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of…

A: Given,             Zig-Zag constant speed, v = 20 μm/s             Other data in the graph

Q: You walk 43 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A:

Q: A projectile is launched with an initial velocity of 40.3 m/s at an angle of 34.6 degrees with…

A: Given, Initial velocity u = 40.3 m/s angle on which the projectile launched θ=34.6 We the the…

Q: An object is thrown at an initial speed of 33.3 m/s at an angle of 28.7 degrees to the horizontal.…

A: Given: The initial velocity of the object is 33.3 m/s. The angle of the projection is 28.7o. The…

Q: You walk for 1000 m northwards at a constant velocity of 3 m/s. Then you turn around, and walk with…

A: Given,  Distance travelled in north direction is 1000 m at constant velocity of 3 m/s    d= 1000 m…

Q: A football player runs for a distance di = 7.29 m in 1.4 s, at an angle of 0= 56 degrees to the…

A: Given:-  A football player runs for a distance d1= 7.29 m in t1= 1.4 sec at an angle θ=56° to the…

Q: 1. The particle's position vector varies in time according to the expression r = (3.00i – 6.00t2j) m…

A: Let r denotes the position vector of the particle at time t, v denotes the position vector of the…

Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: (a) velocity of the particle Apply boundary condition for velocity and rewrite

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 –