A speeding motorcyclist is traveling at a constant speed of 31.1 m per s when he passes a police car parked on the side of the road. The radar, positioned in the police car's rear window, measures the speed of the motorcycle. At the instant the motorcycle passes the police car, the police officer starts to chase the motorcyclist with a constant acceleration of 4.11 m per2. a) How long will it take the police officer to catch the motorcyclist? b) What is the speed of the police car when it catches up to the motorcycle? c) How far will the police car be from its original position?

Q: An object starts from rest and moves along the x axis such that for the first 10 seconds, its…

A:

Q: During the construction of a high-rise building, a worker accidently dropped his portable electric…

A:

Q: 6. The table shows test data for the Bugatti Veyron Super Sport, the fastest street car made. The…

A: To determine :

Q: A car travelling at a constant speed of 24.0 m/s passes a trooper hidden behind a billboard. One…

A:

Q: A cyclist is traveling along a level, straight road at 10 m/s in the positive direction with a x; =…

A: To determine,The magnitude of accelerationa for the first two seconds.given,initial velocity(u)=10…

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 speeding motorcyclist is traveling at a constant speed of 36.0 m/s when he passes a police car…

A: a) The expression for time is t=va Substitute values in the above equation t=36.0ms4.0ms2=9 s

Q: At the instant the traffic light turns green, an automobile starts with a constant acceleration a of…

A: Given: acceleration of automobile aa=2.3 m/s2 constant speed of truck ut=vt=9.6 m/s

Q: A driver travelling at 7Okm/h tries to stop the car and finds that the brakes has failed. The…

A: Since there are multiple questions posted, we answer first three subparts. If you want answer of any…

Q: As soon as a traffic light turns green, a car speeds up from rest to 51.0 mi/h with constant…

A:

Q: In the Cars 2011 auto race, Lightning McQueen and Miguel Camino are moving side by side down a…

A: Given data: Initial velocity of the Lightning McQueen car is, u1=71.5 m/s Final  velocity of the…

Q: (a) Find the displacements for each section of time interval. (b) Plot a position-versus-time graph…

A: a) The displacement in the first time interval t1 = 1.5 min can be determined by given by the second…

Q: 1.  A particle started at x0 = 2 m moved at a velocity 3t^2 m/s. Find the final position of the…

A:

Q: Problem 2: A motorcycle is slowing down uniformly, with a constant acceleration. The motorcycle…

A: Let the initial velocity of the motorcyle = u distance covered in first 80 sec = 1000 m time taken…

Q: The Bugatti Veyron can go from 0-100km/h in 2.46s. It takes another 7.34s at a different…

A: a. Given: Initial speed=u=0 km/hr=0m/s Final speed=v=100 km/hr=27.78 m/s Time=t=2.46 sec

Q: Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east…

A:

Q: 3. An automobile starting from rest speeds up to 12 m/s with a constant acceleration of 1.2 m/s?.…

A: Total distance covered = 368m acceleration of automobile= 1.2m/s2 initial velocity =12m/s

Q: Draw motion diagrams for (a) an object moving to the right at constant speed, (b) an object moving…

A:

Q: 1) A skater increases her velocity from 2.0m/s to 10.0m/s in 3.0seconds. What is the skater's…

A:

Q: 0. Which is the most accurate plot of velocity versus time for the braking car? Velocity v. Time…

A: Introduction: The acceleration is defined as the rate of change of velocity with respect to time.

Q: One simple model for a person running the 100 mm dash is to assume the sprinter runs with constant…

A: Distance = s = 100 m Top speed = v = 11.1 m/s Time = t = 2.44 s Say initial velocity is u = 0 m/s…

Q: Part A Determine the stopping distances for an automobile going a constant initial speed of 94 km/h…

A: Part (A) Write the given data. u=94 km/h=94×518 m/s=26.11 m/sa=-2.6 m/s2t=0.40 s

Q: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a…

A:

Q: 1. Using SI base units, a particle’s position as a function of time is given by x(t)=(7t3+4t2+6) m.…

A: Here given the position of a particle x(t) = 7t³ +4t² +6 in m. We have to calculate The time when…

Q: Problem 1 The velocity of a particle moving along the x axis varies in time according to the…

A: 1)Instantaneous velocity in km/hr at t =0 s denoted by v1 is,

Q: A car and a truck start from rest at the same instant with the car initially at some distance behind…

A: Both the car and the truck start from rest, and the car overtakes the truck when the truck has…

Q: In an experiment, a tern (a seabird) was taken from its nest, flown a distance 5050 km away, and…

A:

Q: 1. A sprinter runs a 100 m race in a straight line. The table shows how his speed changes with time…

A: Speed of sprinter at the = 2 seconds is 4.1 m/s  Speed of sprinter at t = 3 seconds is 5.7 m/s

Q: 13. At time t= 0 an object is traveling to the right along the + x-axis at a speod of 10 m/s with A…

A:

Q: Which of the following acceleration versus time graphs is correct for an object moving in a straight…

A: Acceleration is basically rate of change of velocity with respect to time. In given problem speed of…

Q: You are waiting at a stoplight. When it finally turns green, you accelerate from rest at a rate of…

A: Given data: Initial velocity (Vi) = 0 m/s Acceleration (a) = 6.00 m/s2 Time (t) = 4.10 s Required:…

Q: 3. A particle moves along the x-axis according to x(t) = 10t – 2t? m. a. What is the instantaneous…

A:

Q: 2. A child running around in a field has the following position and velocity at time t = 0: x = 1.5…

A:

Q: (a) Cars A and B begin to move at the same position and time and their motions are as shown in…

A:

Q: complete solution. How long does a high pitched ball with an acceleration of 2.0 m/s² take to go…

A: Given  Initial velocity u = 10 m/s  Final velocity v = 30 m/s  Acceleration a = 2 m/s2

Q: A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00…

A: a) 1 For the first spell of the journey the car starts from rest at t = 0 acceleration a = 1.81 m/s2…

Q: The figure below shows a graph of v, versus t for the motion of a motorcyclist as he starts from…

A: (d) From the definition of the acceleration, the expression for the acceleration is:

Q: What is the acceleration of a car that starts from rest and attains a speed of 100 m/s over a…

A: Given: The intial velocity of the object is 0 m/s. The final velocity of the object is 100 m/s. The…

Q: You're driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in…

A:

Q: A car traveling at a constant speed of 30.0 m/s passes a trooper hidden behind a billboard. One…

A:

Q: Starting from rest at time t = 0, a car accelerates from a stop sign in the positive x direction…

A: According to the equation of motion,Substitute the values,

Q: A car traveling at a constant speed of 26.5 m/s passes a trooper hidden behind a billboard. One…

A: Given: The constant speed of the car is v = 26.5 m/s. The acceleration of the trooper is a = 3.70…

Q: One of the most difficult things to learn in physics is that our everyday language is not always…

A: Explanation: The direction of acceleration depends on the direction of motion of the car and its…

Q: Two subway stops are separated by 1100 m. If a subway train accelerates at -1.2 m/s2 from rest…

A:

Q: The velocity of a particle moving along the x-axis varies in time according to the expression v(t) =…

A:

Q: The figure shows the acceleration-versus-time graph of a particle moving along the x-axis. Its…

A:

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –