Question

In: Physics

The leader of a bicycle race is traveling with a constant velocity of +11.4 m/s and...

The leader of a bicycle race is traveling with a constant velocity of +11.4 m/s and is 11.6 m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.90 m/s and an acceleration of +1.20 m/s2. How much time elapses before he catches the leader?

Solutions

Expert Solution

The given question is solved from the rest from of the first cyclist (leader). The initial velocity and the acceleration of the second cyclist is found out in this frame. The distance between them , being frame independent , remains same. The distance between two points does not depend on the frame.

Second equation of motion is then used to calculate the time.​​​​​​​​​​​​​​​​​​​​​​​​​


Related Solutions

A speedboat traveling at a constant velocity of 20m/s passes a police boat at rest. The...
A speedboat traveling at a constant velocity of 20m/s passes a police boat at rest. The police boat starts up 8 seconds after the speedboat passes, and accelerates at 2.3m/s^2. When and where does the cop catch the speedboat?
A) a roller coaster it's traveling with a velocity of 20 m/s at the top of...
A) a roller coaster it's traveling with a velocity of 20 m/s at the top of an incline. If the incline has a height of 10m, determine the coasters velocity at the middle of the incline. Neglect friction and use 10 m/s^2 for gravity B) a vehicle weighing 15000 nt is traveling at 50 m/s in the i direction. It collides with a wall and stops in 1/10 second. If the collision was inelastic, determine the average force of the...
An object is initially traveling at a velocity of 12 m/s. It then begins to change...
An object is initially traveling at a velocity of 12 m/s. It then begins to change it’s velocity according to the function ?=2.5?+3? v = 2 . 5 s + 3 a , where v is the velocity of the object, s is the objects position, and a is the acceleration. Determine the velocity of the object 30 meters after the velocity begins to change. (17.5 m/s)
At the end of a race a runner decelerates from a velocity of 9.40 m/s at...
At the end of a race a runner decelerates from a velocity of 9.40 m/s at a rate of 2.20 m/s2. (a) How far in meters does she travel in the next 5.10 s? (Assume the deceleration of 2.20 m/s2 is constant over the full 5.10 s.) m (b) What is her final velocity in m/s? m/s (c) Evaluate the result. Does it make sense?
In order for an object of constant mass to be traveling with constant velocity, which of...
In order for an object of constant mass to be traveling with constant velocity, which of the following must be true? a. the net force acting on the mass must be zero b. it’s acceleration is constant c. the net force acting on the mass is greater than zero d. none of the above
A 0.20-kg softball is traveling at a velocity of 20 m/s to the east relative to...
A 0.20-kg softball is traveling at a velocity of 20 m/s to the east relative to Earth. It collides head-on with a 0.40-kg rubber ball traveling at a velocity of 10 m/s to the west. The system's kinetic energy, as measured from the Earth reference frame, decreases by 19 % because of the collision. Call the east the +x direction. a) What is the x-component of the final velocity of the softball? b) What is the x-component of the final...
An 8000 kg truck traveling with a velocity of 20. 0 m/s in a direction 30...
An 8000 kg truck traveling with a velocity of 20. 0 m/s in a direction 30 ° south of east and a 6250 kg car traveling with a velocity of 25. 0 m/s 40 ° north of east collide in a perfectly inelastic collision. Find (a) the final speed and (b) the direction of the combined mass. Also, calculate (c) the change in the kinetic energy of the system.
An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a...
An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a force due to gravity, directed downwards with a magnitude of 4×10^6 N, and a force generated by the engines, directed forwards with a magnitude of 3 × 10^6 N. a. In light of Newton’s first law, why must there be a third force acting on the airplane? Calculate the magnitude of this third force, and explain its physical origin. Draw this third force on...
An airplane is flying at a constant horizontal velocity of 184.5 m/s and drops a rocket....
An airplane is flying at a constant horizontal velocity of 184.5 m/s and drops a rocket. The rocket falls for 10.24 s without air resistance and under the influence of gravity only, and then fires its thrusters. From the moment the thrusters are one, the rocket has a net acceleration of 5.481 direscted 30.21 degrees above the horizontal. How far apart are the plane and the rocket when the rocket passes back through the cruising altitude of the plane?
A car initially traveling at 34.2 m/s undergoes a constant negative acceleration of magnitude 1.90 m/s2...
A car initially traveling at 34.2 m/s undergoes a constant negative acceleration of magnitude 1.90 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.310 m? (b) What is the angular speed of the wheels when the car has traveled half the total distance?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT