A bird fly on x axis as x=3-35t-t² with x in meter's and t in second determine the best velocity function and acceleration

Q: The position of a point (in miles) is given as a function of time : (in minutes): s= - 3 + 5t A.…

A: Given: The positon of the object is given as. st=t3-3t2+5t…

Q: A ball is thrown downward with a speed of 11 ft/s from the top of a 121-foot-tall building. Aftert…

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Q: he will start driving right away, but Carl needs 35.0 min to finish his lunch before he can begin…

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Q: A rabbit is moving in the negative x-direction at 2.70 m/s when it spots a predator and accelerates…

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Q: immediately (perception time is 2 seconds) and begins slowing the vehicle at 10m/. Find the distance…

A: given u=50 mph = 22.35 m/ss = 80mbreaks applied in 2 sec and a= -10 m/s2v=0 m/s

Q: A stone is thrown from the top of a building upward at an angle of 26.0° to the horizontal with an…

A: Given data The angle of projection of the ball is  The initial velocity is u = 21 m/s The height…

Q: Two trains, one traveling at 72.0 km/h and the other at 144 km/h, are headed toward one another…

A: Given data:  For train 1 Initial velocity (Vi) = 72.0 km/h = 20.0 m/s For train 2  Initial velocity…

Q: A student standing on the ground throws a ball straight up. The ball leaves the student’s hand with…

A: Using the kinematics, Substituting the values and solving gives

Q: An object is dropped from a height of 75.0 m aboveground level. (a) Determine the distance traveled…

A: Given:  height, h = 75 m

Q: A parachute is dropping at the rate of 12 m/s. How long will it take to land if it is 432 meters…

A: speed = s = 12 m/s  velocity = v = 12 m/s (-y direction) height = h = 432 m  acceleration = a= g =…

Q: Calculate displacement of an object that is not accelerating, given initial position and…

A: To calculate the displacement of an object that is not accelerating, calculate the final position by…

Q: Two objects A and B flies towards each other. When the distance between them is and acceleration are…

A: GivenDistance between Object A and B=1.2 km=1200 mvA=40 m/svB=15 m/saA=-0.5 m/s2aB=1.36 m/s2

Q: A plane flies with a constant speed of (65.0 + A) m/s relative to the air. The plane needs to get to…

A: Given :-VpA constant speed of the plane=65.0+Am/swind speed=24.0+Bm/sA=78 ; B= 7We should find the…

Q: A bus accelerates uniformly from rest to a velocity of 5.6 m/s in 2.1 seconds. Find the displacement…

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Q: Derive the Equations of Motion when Acceleration given as a Function of Displacement.

A: Given, acceleration a=dv/dt=d2x/dt2 by definition.

Q: The velocity of a particle which moves along the s-axis is given by v = and v is in meters per…

A: To determine: The position, velocity and acceleration of the given particle which moves along the…

Q: A hot-air balloon is rising upward with a constant speed of 3.500m/s. When the balloon is 14m above…

A: The constant speed of hot air balloon which is rising up V=3.5 m/s, height from which object is…

Q: 2: Mr. Choi moves quickly from the sensor starting from th igin in the positive direction at a…

A: We know that here We have given the three conditions in which Mr. Choi moves with the time. and we…

Q: A ball is thrown down vertically with an initial speed of 20 m/s from a height of 60 m. Find (a) its…

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Q: an object is thrown from floor level in a velocity of 16m/s and an angle of 77o. determine the max…

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Q: A ball is thrown vertically upward from the top of a 25-m-high-building with an initial velocity of…

A: Assume that a ball is thrown upward from the top of the building and after 1 second, another ball is…

Q: Chameleons can rapidly project their very long tongues to catch nearby insects. The tongue of the…

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Q: A car is moving with a constant aeceleration along a straight level road. The car is observed to…

A: Distance in each lap: d = 450 m Initial speed of car in first lap: u = 0 m/s Car covered 1st lap in…

Q: The position of a particle that moves along the x-axis is given by:    x= t3-3t2-45t (meters) The…

A: Given, x(t)= t³-3t²-45t t = 8 seconds To find,  The position @ t=8seconds x(t=8) = 8³-3(8²)-45(8)…

Q: Rectilinear Motion: A particle is moving with an acceleration of a = (10t - 3) m/s^2 (t = seconds).…

A: According to question we need to find velocity at t = 1 minute .

Q: A runner’s velocity and acceleration are in the same direction. What can you say about the runner’s…

A: Speed of runner's increase. If velocity and acceleration has same sign than speed increases  If…

Q: A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant…

A: Given, velocity v=38 m/s time t=20 s

Q: A ball is kicked with a velocity of 30 m/s at an angle of 40 degrees with the    ground.  Determine…

A: The range of projectile is  R=u2sin2θg Here u is initial velocity, θ is angle of projection and g is…

Q: A ball A is thrown vertically upward from the top of a 36-m-high building with an initial velocity…

A: We need to find the position and time at which both balls will pass .

Q: A particle moves along a straight line with an acceleration of a = 3s m/s². If at s-0m, the velocity…

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Q: A red train traveling at 20 m/s and a green train traveling at 40 m/s are headed toward one another…

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Q: An object is moving with velocity (in ft/sec) v(t)=t2-3t-10 (a) Find the displacement and total…

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Q: If a particle moving in one-dimensional motion about the x-axis starts from the origin with velocity…

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Q: 5. An object is launched 15 m/s horizontally. A. Fill in the variables for the object. B. Solve for…

A: Tis is a horizontal projectile projected from 12 m high with a speed of 15 m/s Only acceleration due…

Q: Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the…

A: Let T be the time difference between each drop and h be the height of the edge of the roof from…

Q: car moving with a constant acceleration travels 10 m after 6th second and 6 m for the 8th second of…

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Q: help

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = t - 6t2 + 9t + 11…

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Q: 1. Initial velocity in x-axis is 2. Initial velocity in y-axis is 3. Velocity at the maximum height…

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Q: A canon is fired straight up starting from the ground with a velocity of 25m/s. It then reaches its…

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Q: A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The…

A: A sled accelerates down a hill and then slows down after it reaches a flat portion of the ground.…

Q: A helicopter flying with a velocity of 160km/h at elevation 500m above sea level dropped supplies to…

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Q: Given the velocity-time graph. Using the concept of areas, find the displacement: from t = o s to t…

A: The area of triangle is as below. a=12h×b Here, h is the height and b is the base. The area of the…

Q: A ball is thrown upward from the top of a 40.0 m tall building. The ball's initial speed is 12.0…

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Q: If an object has an acceleration of 0 m/s, then one can be sure that the object is not changing…

A: Acceleration is the rate of change in Velocity

Q: A ball thrown upwards is held in the same place by the thrower 4 seconds later. What is the maximum…

A: The time taken by ball to reach its maximum is th=42 s=2 s The final velocity is v=0 m/s.

Q: Time Position When an object moves, it doesn't always move at a steady pace. As a result, its…

A: To determine: Teacher's average speed and the maximum speed based on the given data.

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 –