A rocket is launched from rest from an underwater base a distance of 125 m below the surface of a body of water. It moves vertically upward with an unknown but assumed constant acceleration (the combines effect of its engines, Earth’s gravity, and the buoyancy and drag of the water), and it reaches the surface in a time of 2.15 seconds. When it breaks the surface its engines automatically shut off (to make it more difficult to detect) and it continues to rise. What maximum height does it reach? (Ignore any effects at the surface.)

Q: A rock is thrown downward into a well that is 8.76 m deep. If the splash is heard 1.02 seconds…

A: Let the initial velocity of rock = u depth of well (d) = 8.76 m time taken for the splash to be…

Q: A soccer player kicks a rock horizontally off a 44 m high cliff into a pool of water. If the player…

A:

Q: A stone is dropped into a well. The sound of the splash is heard 5.16 s later. What is the depth of…

A:

Q: A pendulum clock that works perfectly on Earth is taken to the Moon. Assume that the free-fall…

A: Let the length of the pendulum is denoted by l. The time period (T) of the pendulum is given as,…

Q: An object is shot straight up from the ground with an initial velocity of 20 m/s. How high above the…

A: Given: The initial speed of the object is 20 m/s. The time interval from maximum height is 1 s.

Q: A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for the first…

A:

Q: A particle at rest leaves the origin with its velocity increasing with time according to v(t) =…

A: Given: The increasing velocity function is vt=3.2t m/s. The decreasing velocity function is…

Q: A diver springs upward with an initial speed of 2.1 m/s from a 3.5-m board. (a) Find the velocity…

A:

Q: A particle moving along the x axis with constant acceleration has a velocity of vy = 41.0 cm/s at t…

A: Given that  A particle moving along the x axis with constant acceleration has a velocity of Vy =…

Q: A particle moves along the x-axis according to x(t)=10t−2t2mx(t)=10t−2t2m. (a) What is the…

A: Given data: motion xt=10t-2t2 m Time t = 2 s Time t = 3 s

Q: The acceleration of a linear motion particle is given as a=-(0,1+sin(s/b)) the unit of acceleration…

A: The velocity be expressed and calculated as,

Q: (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle…

A:

Q: -2 5) The position of a particle for t > 0 is given by ř(t) = (3.0 t² î – 7.0 t³ĵ- 5.0 t-² k) m (a)…

A:

Q: maximum time

A: First find the time the skydiver has while jumping from 15000 m.Initial vertical velocity is…

Q: What initial velocity v0 is required for a bullet, fired vertically from ground level, to reach a…

A: Initial velocity v0 (to be evaluated)The final velocity vf=0m/s (At the maximum height it will come…

Q: A man drops a rock into a well. (a) The man hears the sound of the splash 2.24 s after he releases…

A: time taken to hear the splash = 2.24 secspeed of sound in air = 336 m/sInitial speed of rock (u) = 0…

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given data:  Initial velocity (Vi ) = (2.69 î - 2.98 ĵ)m/s Time (t) = 3.00 s Final velocity (Vf) =…

Q: A particle leaves the origin with an initial velocity i = (4.88i) m/s and a constant acceleration á…

A:

Q: A tourist at a rim of a canyon yells "hello!" toward the opposite side. She hears the echo "hello"…

A: Data  we have Speed of sound,v=340m/s time required for echo to travel,t=4s To find d=?

Q: Calculate the maximum height it reaches and the velocity of the projectile when it hits the ground…

A: You can assume mass = m , as it was not mentioned, for ymax it should be 1 according to answer ,…

Q: fish swimming in a horizontal plane has velocity vi (4.00i +1.00j) m/s at a point in the ocean…

A: Model of the fish as a particle under constant acceleration. Lets assume that x and y be the…

Q: A tourist at a rim of a canyon yells "hello!" toward the opposite side. She hears the echo "hello"…

A: Given data The speed of the sound is given as v = 340 m/s. The time duration to hear the echo sound…

Q: A ball is thrown from the ground with an initial velocity of 20 m/s at an angle of 30 degrees above…

A: Initial velocity (u) = 20 m/s Launch angle () = 30 degrees Acceleration due to gravity (g) = 9.8…

Q: (a) A soccer player kicks a rock horizontally off a 33 m high cliff into a pool of water. If the…

A: Consider the rock is falling in the y axis.Use the equation,The time taken by sound to reach player…

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.