You can use any coordinate system you like to solve aprojectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building witha velocity vS at an angle u with respect to the horizontal. Letthe building be 50.0 m tall, the initial horizontal velocity be9.00 m/s, and the initial vertical velocity be 12.0 m/s. Chooseyour coordinates such that the positive y - axis is upward, thex - axis is to the right, and the origin is at the point where theball is released. (a) With these choices, find the ball’s maximumheight above the ground and the time it takes to reachthe maximum height. (b) Repeat your calculations choosingthe origin at the base of the building.

Q: A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3…

A: To find the acceleration vector

Q: A football is kicked at 25.0 m/s at an angle of 29.0° above the horizontal. Assume it starts 1.00 m…

A:

Q: As shown in Figure 1 of the ski ramp, you need to make sure that the skier lands safe once they jump…

A:

Q: From the window of a building, a ball is tossed from aheight y0 above the ground with an initial…

A: Initial velocity of the ball,

Q: You've told your friends and family that despite circumstances you are getting plenty of exercise by…

A:

Q: A basketball player is running at 4.60 m/s directly toward the basket when he jumps into the air to…

A:

Q: baseball is hit at a speed of 42 m/s at an angle of 35 degrees above the horizontal. The ball is…

A:

Q: A projectile is thrown with an initial speed v0 =116m/s at an angle θ =290 as shown in the figure.…

A: The horizontal component of the initial speed is given as,

Q: An artilery shell is fired with un Initial velocity of 300 m/s at 45.0° above the horizontal. To…

A:

Q: a student stands at the edge of a cliff and throws a stone horizontally with a speed of v0=18.5 m/s.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (a) Draw the initial and final velocity vectors (b) Find Dv

A: The initial and final velocity vectors as shown the below plot.

Q: A stuntman attempted to jump across the street on his motorcycle speeding with initial velocity of…

A: We are given initial velocity. We are also given angle of projection. We are also given vertical…

Q: Darshan kicks the ball in a parabolic path. The ball leaves the player’s foot with a speed of 20…

A: Given: Initial speed of the projectile u =20 m/s Angle of the football projection θ = 40o a) Maximum…

Q: in the figure here, a ball is thrown up onto a roof landing 3.60 s later at heighth-20.0 m above the…

A:

Q: In a basketball game, two teammates are going to pass a ball to each other starting together from…

A:

Q: At what angle should the second snowball be thrown to arrive at the same point as the first?

A: Projectile A projectile is an object that is thrown without any fuel. Generally, a projectile is…

Q: In the figure here, a ball is thrown up onto a roof, landing 4.90 s later at height h = 21.0mabove…

A: Given information: The time it takes for the ball to land (t) = 4.90 s The height at which it lands…

Q: A canoe has a velocity of 0.310 m/sm/s southeast relative to the earth. The canoe is on a river that…

A: Velocity of canoe relative to earth (v) = 0.31 m/s southeast Velocity of river relative to earth…

Q: 5. Review. A snowmobile is originally at the point with posi- tion vector 29.0 m at 95.0…

A:

Q: The pitcher in a softball game throws a ball with an initial velocity Vọ of 72 kmh at an angle a…

A:

Q: PROBLEM: A ball is kicked at the edge of a cliff with a magnitude of 20m/ s at angle of 40° from the…

A:

Q: object is launched off the edge of a cliff of height h at an angle of θabove the horizontal, with an…

A:

Q: A plane, diving with constant speed at an angle of 52.6° with the vertical, releases a projectile at…

A:

Q: the leprechaun in the shamrock patch was named O'Malley and since he was disrupted from sitting in…

A:

Q: Current Attempt in Progress In the figure, a stone is projected at a cliff of height h with an…

A:

Q: A projectile is shot form the cdge of a cliff 157m above ground level with an initial speed of 57m/s…

A:

Q: A ball is thrown with initial velocity vo at an angle 00 = 45° above the horizontal, from the roof…

A: Given data, Angle of projection = 45o Horizontal range = 25 m Time of travel = 1.5 sec…

Q: Check Your Understanding If the average velocity vector of the drone In the displacement in Example…

A: We must ascertain the vector u→=15.0 i^+31.7 j^+2.5 k^ m/s's average speed.

Q: A rocket accelerates 10 gravity's (320ft/s2), at an angle of 30° (60° to ground) from vertical wind…

A: Given:Accleration of the rocket at 60 degree from horizontal, a = 10 gVelocity of the wind = 20 ft/s…

Q: From the window of a building, a ball is tossed from a height y, above the ground with an initial…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: cannonball is shot with an initial speed of 30.0 m/s and 25.0º angle below horizontal from a height…

A: Given: horizontal acceleration, ax = 0 m/s2 vertical acceleration, ay= -g = -9.8 m/s2 Vertical…

Q: An object is shot horizontally off a cliff which is 19.95 meters high. The forward speed when it is…

A:

Q: Show, using graphical vector addition, that the acceleration vector for an object in uniform…

A:

Q: I need help with this HW problem

A: Initial velocity at t = 0 along horizontal (x) and vertical (y) direction is: The motion along the…

Q: From the window of a building, a ball is tossed from a height yo above the ground with an initial…

A:

Q: A swimmer tries to cross a river swimming at the angle θ to the perpendicular to the stream (to the…

A:

Q: Question 4: A particle is thrown into air with initial speed vọ making angle 0 with the horizontal…

A: Given data: The initial speed of projection of the particle to the right is v0. The angle between…

Q: An arrow is launched from ground level, with an initial speed of 27.2 m/s at an angle of 31.4° above…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: From the window of a building, a ball is tossed from a height yo above the ground with an initial…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.