A physics student stands on a cliff overlooking a lake and decides to throw a softball to her friends in the water below. She throws the softball with a velocity of 22.5 m/s22.5 m/s at an angle of 39.5∘39.5∘ above the horizontal. When the softball leaves her hand, it is 15.5 m15.5 m above the water. How far does the softball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer.

Q: Consider the case of a student wishing to investigate the acceleration of a small cart in a lab…

A: Velocity versus time graph

Q: A particle follows a rectilinear trajectory for 4 seconds, moving from its beginning point (Sa = 8…

A:

Q: After slapping the burglar in the Tondo, Rodrigo ran to a nearby hut which is s = (300+) meters from…

A: s = 1.25t-0.35 - 3t3cos(-5t)+0.25t4e0.5tDistance of hut = 300+274100

Q: A rifle is aimed horizontally at a target 53 mm away. The bullet hits the target 2.5 cmcm below the…

A: Write the given values of the problem- Distances the x component-xi=0 mxf=53 mDistances the y…

Q: A ship is spotted from two lighthouses, A and B at 1 P.M. From lighthouse A, which is 39.2 km due…

A: Ship is spotted from light house A and B

Q: A runner and his trainer are standing together on a circular track of radius 100 meters. When the…

A: Determine the arc length. Determine the function of the distance between the runner and the…

Q: ship sails from a port due south for 5.4 km. It then changes direction and sails another 2.7 km on a…

A:

Q: 3. A ball is thrown horizontally at 100 ft from a point 256 ft above the ground.At what horizontal…

A: Given  height(h)=256 ft horizontal initial speed(u)=100 ft/s g=32.2 ft/s2 to find :) range(R) or the…

Q: Airplanes A and B are flying at the same altitude and are tracking the eye of hurricane C. The…

A:

Q: A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is coming directly towards…

A: Given data: - The speed of the hockey player is running north is vh = 8 m⋅s−1. The speed of the…

Q: A baseball is hit at an angle ○ horizontal eighth the ground. Suppose the initial velocity is 100…

A:

Q: A projectile is fired with an initial speed of 36.5 m/sm/s at an angle of 41.1 ∘∘ above the…

A:

Q: Situation: A passenger in a bus moving at constant velocity tosses a coin. An observer standing at…

A: Motion in inertial frame:

Q: An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the…

A:

Q: Question 11 An aircraft carrier is heading east at a speed of 222.0 m/s (relative to the sea). Raul…

A:

Q: When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 50 s to…

A:

Q: the x component of 40 m, 32° west of north?       a. 40 m tan 32°       b. 40 m sin 32°       c. 40…

A:

Q: Marie is jogging on the deck of a large cruise ship. From the ship's reference frame, Marie is…

A: Given Data : The velocity of Marie in the ship's frame of reference is given as vm=2.68 ms The…

Q: An artillery shell is fired so that its horizontal range is twice its maximum height. At what angle…

A:

Q: Suppose a 0.40 m^2 frame is placed horizontally under a downward vertical rain lines. Assume that…

A: solution as

Q: The velocity of a particle in reference frame A is  (5.0î + 5.0ĵ) m/s.  The velocity of reference…

A:

Q: From the table below, find the resultant (magnitude and direction) of J and D. A = 15 at 270°…

A:

Q: bullet is fired with a muzzle velocity of 1161 ft/sec from a gun aimed at an angle of 11° above the…

A:

Q: A man throws a stone horizontally with velocity  Vi. If the vertical displacement is 155 meters and…

A:

Q: 46. A partiele is projected from a point on a horizontal plane with speed 40 ms" at an angle of…

A:

Q: Which of the following is TRUE about the speed of light? A. The speed of light is slower in a…

A: Inertial frame is reference that is moving at constant speed or whose velocity is zero. It means an…

Q: Two astroids are flying through outer space, in the directions shown below. Astroid A moves at VA =…

A:

Q: gun tilted upward at 30.0° fires a bullet with a speed of 134 m/s. What is the component of the…

A: We can solve this by resolving the vector in component

Q: Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour…

A: Let the port be denoted by O The two ships make a right angle triangle OBA. Angle between OB and OA…

Q: How do you solve this acceleration problem? a = F/m a = 2.27x10^5N / 4.0026u What does u mean?

A:

Q: A person is walking north on a sidewalk at about 3.25 mph. At the same time the wind is blowing from…

A: person is walking in the direction of north with speed of 3.25 mph wind is blowing in the direction…

Q: Which of the following primarily moves in a three dimensional reference frame?   Question 8…

A: Which of the following primarily moves in a three dimensional reference frame?

Q: An object is thrown from the ground at an angle of 30 o (above the horizontal) with a speed of 39.2…

A:

Q: At an airport, Anna is stationary, Bert is walking at a speed of 1.0 m/s, Carla is standing while…

A: 1. As Anna is stationary at an airport therefore Anna's velocity relative to ground or earth is 0…

Q: a = (2, 0, 1), b = (0, 1, ½) and c = a × b, what is the magnitude of c?

A:

Q: One strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then…

A: Given : vo = 30 m/s θ1 = 65°

Q: One strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then…

A:

Q: Shekinah, moving at 8 m/s on in-line skates, is overtaking her friend, Vito, moving at 5 m/s as they…

A: Velocity of shekinah, vs  = 8 m/s velocity of vito, vv = 5 m/s velocity of ball, vb = 12 m/s

Q: In what direction should an airplane fly in order to fly due north at 320 kph if the wind is blowing…

A: By relative motion Vpa = Vp - Va = 320j -50i  Angle = tan-1(50/320)  = 8°53'  N 8°53' w

Q: An observer 160 meters away sees a rocket launch into the air. The rocket reaches its maximum height…

A: Given:Observer distance from rock launch is 160 mLooking angle of observer relative to ground is…

Q: An airplane flew from Manila( 121o30' E, 14o N ) on a course of S 30o W and maintaining a uniform…

A:

Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 8.00 m/s relative to the…

A:

Q: A object is moving from ground at 70 meter per second and an angle of 75 degrees from horizontal.…

A:

Q: A plane flies at vpa = 67.5 m/s relative to the air in a direction 25.0° N of E, but the wind blows…

A: velocity of plane relative to air (Vpa→) = 67.5 × [cos(25o)i^ + sin(25o)j^] msVpa→ = 61.17i^ +…

Q: One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While…

A: Solution:   Given Values, Initial Speed of the ball (u)= 32.1 m/sThe angle of projection (θ)=57°

Q: The position of an electron is given by 7 = 8.49t – 5.75rj + 1.68k, with t in seconds and 7 in…

A: The given position vector of an electron is r→ = 8.49ti^ - 5.75t2j^+1.68k^ a) The X component is…

Q: In a tournament, three boys A, B, and C trying to throw a ball into a basket ( as shown in figure…

A: Given data- A: x(t)=5t+40; y(t)=32-2t2 B: x(t)=5t+10; y(t)=32-5t2 C: x(t)=5t+15; y(t)=32-5t2

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.