The brakes on your car can slow you at a rate of 5.2 m/s2. (a) If you are going 137 km/h and suddenly see a state trooper, what is the minimum time in which you can get your car under the 90 km/h speed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.) (b) Graph x versus t and v versus t for such a slowing.

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

A:

Q: In this problem “down” is taken to be positive (+), acceleration is “a” and velocity is “v”. An…

A: acceleration due to gravity is 9.8 m/s2 .thus direction of acceleration = positive

Q: You have an old American Mustang that you have shipped to Austria. The speed limit on the autobahn…

A: The speedo meter measures the Instantaneous speed of the vehicle. The speed limit on the autobahn in…

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Given: Let, the time to drive from Santa Cruz to San Jose is t1, and the time taken back to the…

Q: 1. An object's position as a function of time in one dimension is given by; x(t) = 3t2 – 0.5e0.7E +…

A: Given:  xt = 3t2-0.5e-0.7t+0.5 To Find: Average velocity between t =0 to t = 4 sec

Q: A model rocket shot straight upward with an initial velocity of vo = 25 m/s will reach a height of h…

A: Given data: Initial velocity of rocket, vo=25 m/s Height, ht=-4.9t2+25t

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Average Velocity of an object is its total displacement divided by total time taken.  Displacement -…

Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

A:

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: Sind- TATAN An airplane takes off as shown following a trajectory described by equation y=xx2, where…

A: Given Equation of trajectory y=kx2 k=2×10-4 ft-1 v=110mph=161.33 ft/s at  x=1200 ft

Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…

A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: t (s) 0 5 10 15 20 25 30 f(t) (ft/s) 234 215 196 169 150 120 109

Q: Find the magnitudes of velocities V and vg in the figure below, where, 8 = 24.0° and tot VA IVB Vtot…

A:

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: (a) The kinematic equations for displacement in X and Y direction are shown below.

Q: Inside a house, a person sees a flowerpot fall past a window. If the pot was visible for 0.31…

A:

Q: (✰✰✰✰) A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = −t²…

A: Let's calculate at what time the velocity will be zero: Total displacement (vector quantity…

Q: A particle's velocity is given by vlt) = -atj, where a = 0.725 m/s? is a constant. (a) Describe the…

A: (a)

Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Concept used  Average velocity  -It's defined as the ratio of displacement ∆x (x2-x1) to the time…

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A:

Q: How high was the cliff?

A: Diver's initial speed(u) = 2.6m/s Time taken = 3.1 sec Acceleration due to gravity (g) = 9.81 m/s2…

Q: velocity components

A: To obtain the time of flight, t, from the velocity components and y, we can use the following…

Q: At noon, Fred is driving south on Highway 1, 50 miles north of its intersection with Highway 2. He…

A:

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…

Q: A car is traveling with a constant speed along a road that has a form of a square. The car starts at…

A: Given:road is of square shape ABCDFrom the diagram below, the car starts fromone side lets say from…

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.