21.) Projectile Motion Bob throws a ball straight up with an initial speed of 50 feet per second from a height of 6 feet. (a) Find parametric equations that describe the motion of the ball as a function of time. (b) How long is the ball in the air? (c) When is the ball at its maximum height? Determine the maximum height of the ball. B (4) Simulate the motion of the ball by graphing the equa- tions found in part (a).

Q: Starting from rest, the motorboat travels around the circular path, p = 50 m, at a speed v =…

A: Given value--- radius of curvature = 50 m. v =0.8 t . We have to find--- a) Determine the…

Q: The following values represent a particle with an x-coordinate that varies in time. Time, t (s)…

A: Solution:- (A) X. Vs. t  graph

Q: Edmond Halley was the first to realize that the comets observed in 1531, 1607, and 1682 were really…

A:

Q: You want the final speed at the bottom of your roller coaster hill to be 26.8 m/s. What is the…

A: Given data: Final speed (v) = 26.8 m/s g = 9.8 m/s2 Required: The height (h)

Q: a system of objects is always conserved, b) the total momentum of a system of objects is conserved…

A: Given  The total momentum of a system is conserved for the case,

Q: Question 14. Two oppositely charged parallel plates have an electric potential difference of 1.2 x…

A:

Q: A person weighing 879. N rides in an elevator that has a downward acceleration of 1.37 m/s2. What is…

A:

Q: For items 4 and 5, consider a blue ball A which hits a green ball B of the same mass as shown in the…

A:

Q: A nonconducting uniformly charged sphere has a radius R and volume charge density “rho”. Find the…

A: Gauss law: Gauss's Law states that the charge enclosed divided by the permittivity determines the…

Q: A 72.0 kg ice hockey goalie, originally at rest, catches a 0.150 kg hockey puck slapped at him at a…

A:

Q: ge of speeds from 0 to 70 miles per hour (mph). At full power, the car can accelerate m zero to 32.0…

A:

Q: On the production​ floor, machinists use a table saw to create wooden forms for pouring concrete.…

A: Given data:  Voltage (V) = 120 V Current (I) = 16 A Required: Power (P) in hp

Q: Consider a 26.8-kg box on a ramp angled at 30.5 degrees above the horizontal. The coefficient of…

A: Given: The mass of the box is 26.8 kg. The angle of the inclination is 30.5o. The coefficient of the…

Q: An aluminum cup of 97 cm³ capacity is completely filled with glycerin at 17°C. How much glycerin…

A:

Q: 7. - A wire is bent into a loop in the shape of two circular arcs of radii a 20 cm and b = 25 cm as…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: When its 80 kW engine is generating full power, a small single-engine airplane with mass 750 kg…

A: Given data:  Full power of engine (Pfull) = 80 kW Mass (m) = 750 kg Speed (v) = 2.5 m/s Required:…

Q: 3. Find the divergence and curl of the following, with r the usual position vector and u a constant…

A:

Q: зро 2PO Po 5: 6: Vo 2V 3Vo V

A: For an isobaric process(constant Pressure), the work during the expansion and compression of the gas…

Q: 2) A t = 0, a particle of mass m attached to a spring of spring constant & is at rest a distance r…

A:

Q: A piece of wood of relative density 0.75 floats in a river, what fraction of the volume remains…

A:

Q: A car with a mass of 1.3x103 kg is skidding to a stop along a horizontal surface. The car…

A:

Q: A massive light hangs over the table in Jeremy's dining room. The light is supported by four strong…

A: In the given scenario, The net vertical force acting on all four chains equal to the gravitational…

Q: A boat coasts under a bridge at a constant speed, and while moving under the bridge a large sack is…

A: conservation of momentum: if there are no external forces acting on the system then the linear…

Q: It was a snow day, so Eric and some friends went sledding. He boarded his 60-inch sled and descended…

A:

Q: 22.0-kg block is initially at rest on a horizontal surface. A horizontal force of 80.0 N is required…

A: Given  Mass of block ,M = 22.0 kg  Force required to set the block in motion is ,F1= 80.0 N  Force…

Q: A bug is located at the origin at t=0 with a velocity of 45 m/s at an angle of 40° counterclockwise…

A:

Q: Required information In the circuit shown, R₁ = 19.5 Q, R2 = R4 = 40.00, R3 = 20.00, R5 = 12.30, and…

A:

Q: Your groceries are in a bag with paper handles. The handles will tear off if a force greater than…

A:

Q: A block of mass 0.241 kg is placed on top of a light, vertical spring of force constant 5 200 N/m…

A: Given data:  Mass (m) = 0.241 kg Spring constant (k) = 5200 N/m Comparison in spring (x) = 0.101 m…

Q: A billiard ball with a mass of 0.45 kg collides head on with a billiard ball that has a mass of 0.55…

A:

Q: On wet pavement the coefficient of kinetic friction may be only 0.250. How fast should you drive on…

A: Given value--- coefficient of kinetic friction = 0.800 . initial velocity = 25.5 m/s. final…

Q: air friction, the system oscillates by swinging back and forth in a vertical plane. If the string is…

A: Solution

Q: A thin lens is place in front of a candle at d_o=1.5m away. An image of the candle appears on a…

A:

Q: Which of the following statement is correct? O v²=v² - 2a(x-x) X Х0 O v² =v² + 2a(x-x₂) O v²=v² +2a…

A: Given data:  Initial velocity = vx0 Final velocity = vx Initial position = x0 Final position = x…

Q: Calculate the maximum height (h) and total flight time (t) in each of the following cases.

A:

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the…

A:

Q: truck moving at 35.0 mph collides head on with a car traveling in the opposite direction. The mass…

A:

Q: If the galaxy NGC 6643 is 588 million light-years away, what is the lookback time to the galaxy?…

A: Given:  Distance of galaxy NGC 588 from earth = 588 million light years  We have to find the…

Q: stion 4. In all electronic camera flashes, there is a capacitor, which is a device that allows large…

A:

Q: The density of water is 1.0 g/cm³. If h = 20 cm, the density of the oil in the left column of the…

A: Given  Density of water, pw = 1.0 g/cm3  Height of oil level, h = 20 cm  Height of water level, l=…

Q: If she swings the yo-yo with a speed of 2.7m/s, the how much tension is in the string when the yo-yo…

A:

Q: Find the cross-sectional area of a 5.1 cm long solenoid with 525 turns and a self-inductance of 43…

A: Given data:  Length (l) = 5.1 cm = 5.1×10-2 m Number of turns (N) = 525 Self Inductance (L) = 43 μH…

Q: How much work does the force you apply do on the grocery cart?

A: Given data:  Force (F) = (27 N)i - (38 N)j Displacement (s) = (-8.5 m)i - (3.0 m)j Required: The…

Q: energy to find the suitcase's coefficient of kinetic friction assuming that the local acceleration…

A: Given value--- mass = 12 kg. initial velocity = 2.45 m/s. final velocity = 0 m/s. distance = 1.45…

Q: A 9.0Ci Ir-192 source (half-life = 73.8 days) was installed in a high dose rate brachytherapy…

A: Given: Activity of sample = 9 Ci Half life of sample = 73.8 days

Q: 3. Consider that immediately after sunset the surface of the Earth is at a temperature of 20° C and…

A:

Q: Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.9×106 N. one an…

A:

Q: A 15 kg cannonball is fired horizontally off the back of a 950 kg railway cart at a speed of 240…

A:

Q: A rocket is to travel from Earth to a nebula 5.45 ly away. At what speed must the rocket travel in…

A:

Q: Some hydrogen gas is enclosed within a chamber being held at 200°C whose volume is 0.0250 m³.…

A: Since the hydrogen gas is enclosed within the chamber, the volume will remain constant. Write the…

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.