Derive the differential equation of motion.

Q: Give an example of motion in which speed remains uniform, but the velocity changes.

A: Consider a uniform circular motion. In this case, each instant, direction of motion is continuously…

Q: A woman leaning over the railing of a tall bridge accidentally drops her cell phone. If the bridge…

A: Height of bridge ,h = 40.27m Acceleration acting is acceleration due to gravity ,g = 9.81m/s2 Also,…

Q: Object A has a velocity of 6 m/s [E]. Object B has a velocity of 4 m/s [W]. What is the velocity of…

A: Given data: Velocity of object A (vA) = 6 m/s[E] Velocity of object B (vB) = 4 m/s[W] Required:…

Q: A car moving with constant acceleration covers the distance between two points 120 m apart in a time…

A: Please see the answer below

Q: Find the magnitude, in meters per second, of ball’s initial velocity.

A: Given:The vertical component of the initial velocity is v0y =6.25 m/s The ball’s initial horizontal…

Q: A person jumps with an initial velocity of 5m/s at angle of 55 degrees above horizontal. Sketch the…

A: Given information:Velocity of the person (v) = 5 m/sAngle at which person jumps (θ) = 550

Q: Consider the case of projectile motion under gravity in two dimensions. Find the equation of motion…

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Q: A speedboat increases its speed uniformly from vi= 20m/s to vf= 30m/s in a distance of 2.00x102m.…

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Q: A person walks at a constant rate 40 meters to West and then 70 meters to the North. The person's…

A: The displacement of the particle is the straight distance between the initial and the final point.…

Q: A kayak on a lake is moving at a constant speed of 4.2 m/s in a direction 43.3° north of west. After…

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Q: A ball is projected vertically upward with an initial velocity of 41 feet per second from the top of…

A: Write the equation of motion, and solve for the position function as follows. v=u+atdhdt=u+gt…

Q: The direction of the acceleration vector is the same as the direction of the velocity the…

A: Let the initial velocity vector = u→Let the final velocity vector = v→Let the time taken = t

Q: Observe that motion in two dimensions consists of horizontal and vertical components. Understand the…

A: The shortest path between any two points is straight line. This path can be denoted by a vector with…

Q: Tabulate your results, and explain the correlation between the height of the canon above the ground,…

A: The chart including, height, initial velocity and range is given by,HeightInitial…

Q: how far does the object go in the first 5 seconds

A: In order to determine the displacement of the object for the first 5 seconds (0 to 5 seconds), we…

Q: A projectile is launched from a cliff and lands on the ground below. The range of the projectile…

A: The formula for range of a projectile is given by,…

Q: Acceleration Due to gravity (m/s*) Trial Vertical Displacement (m) Velocity (m/s) 1 0.30 2.44 2 0.30…

A: Given Data for the motion of a falling object.

Q: A ball dropped from a window strikes the ground 2.00 seconds later. How high is the window above the…

A: Given:time t for the ball to strike the ground = 2.00s Required:Height of the window from the ground…

Q: If a ball is thrown in the air at an initial velocity of 70 m/s, the initial velocity of the ball is…

A: Initial velocity of ball, vo = 70 m/sAcceleration due to gravity, g = 10 m/s2

Q: 1. Three charges are arranged as shown. a. The magnitude of the electric field at point P due to one…

A: We will use expressions for electric field and electric potential due to a point charge to answer…

Q: A bullet is shot horizontally with an initial speed of 899 m/s at a target 183 m away. How far,…

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Q: You must use kinetics (F=ma).  A car stops over a distance of 49.7 m from a ve

A: On ground,The distance over which car stops,                                                     The…