1. A bicyclist makes a trip that consists of three parts. During the first part, she rides for 22 minutes at an average speed of 7.2 m/s in the direction of North. During the second part, she rides for 36 minutes at an average speed of 5.1 m/s again in the North direction. Finally, during the third part, she rides for 8.0 minutes at an average speed of 13 m/s towards south. a. Determine the distance and the displacement the bicyclist has traveled during the entire trip. b. What is her average speed and average velocity for the trip?

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 192 m/s to the west.…

A: Apply the first kinematic equation. Here, v represents the final velocity, u represents the initial…

Q: A bus travels 2.0 x 102m with a constant acceleration of magnitude 1.6 m/s2. How long does the…

A: Given   Distance d= 2*10² m Acceleration=a =1.6 m/s² Vi = initial velocitt = 8.0 m/s

Q: You leave the airport in College Station and fly 20.0 km in a direction 34.0° south of east. You…

A:

Q: A cab driver heads south with a steady speed of v₁ = 22.0 m/s for t₁ = 3.00 min, then makes a right…

A:

Q: A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i   until it…

A: The objective of the question is to find the average acceleration of the car during the given time…

Q: Accelerating uniformly at 2.4 m/s2, an object starts with an initial velocity v = 2 m/s to  a final…

A: Given: The acceleration of the object is 2.4 m/s2. The initial velocity of the object is 2 m/s. The…

Q: The problem states, "A truck on a straight road starts from rest, accelerating at 2.00 m/s2 until it…

A: Given data:  Initial velocity (V0) = 0 m/s Acceleration (a1) = 2.00 m/s2 Velocity (V1) = 20.0 m/s…

Q: The best leaper in the animal kingdom is the puma, which can jump to a height of 10.8 ft when…

A: From the kinematics, the formula for the final velocity along the vertical direction is: Plug the…

Q: An object is initially at rest and accelerates at a rate of 3.50 m/s² in the positive x-direction.…

A: The time required by the object to move 50 m from the initial position is 5.34 s

Q: A cab driver heads south with a steady speed of v₁ 20.0 m/s for t₁ = 3.00 min, then makes a right…

A: moving south with velocity v1=20 m/s for t1=3.0 minthen turn right and moving with v2=25 m/s for…

Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

A:

Q: An  rock is thrown straight up with an initial velocity of 18.5 m/s. What maximum height will the…

A:

Q: Ibrahim and Ismail are playing a slide in the playground at Taman Krubong Perdana. The slide…

A:

Q: A juggler is practicing tossing balls on a train which is moving north at 30 m/s. She tosses a ball…

A:

Q: A bus driver heads south with a steady speed of v₁ = 24.0 m/s for t₁ = 3.00 min, then makes a right…

A:

Q: A certain freely falling object, released from rest, requires 1.20 s to travel the last 33.5 m…

A: (a) Use the kinematic equation to solve for the velocity of the object when it is 33.5 m above the…

Q: A car is traveling along a horizontal road with an initial velocity of 17.8 m/s in the positive…

A: The given values are,

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A: Given data : Initial velocity u= 0 m/s, rest Final velocity v = 10.8 m/s Time (t) = 3.36 seconds

Q: A volleyball starts from rest and accelerates with an acceleration of 0.405 m/s2 while moving down a…

A:

Q: An annoying spider strolls nonchalantly from an initial position of r; = (-35.5i + 45.0j) cm to a…

A: (given) Initial position of spider rolls = (-35.5 i + 45.0 j) cm   Final position of spider rolls =…

Q: The figure shows the velocity of an object as it travels along the x-axis. What is the closest value…

A:

Q: Starting from home, you bicycle 24 km north in 2.5 h and then turn around and pedal straight home in…

A:

Q: A marble is thrown upward with an initial speed of 15.6 m/s. Assume g=10.0 m/s2 and neglect air…

A: Given  Initial velocity u=15.6m/s Final velocity v=0.5×15.6=7.8 m/s Acceleration due to gravity…

Q: A child plays on an escalator by going up and down while the escalator is moving. When he runs…

A: Given The duration of upward motion tup=27 s The duration of downward motion tdown=79 s velocity of…

Q: The citizen leaves a city at 3:00 p.m. It travels at 36.0 m / s when the engine of its car stops.…

A: Given: Initial speed of car (u) = 36.0 m/s During first t1 =12 seconds the acceleration of car = a1.…

Q: A cougar jumps to a height of 3.45 m when leaving the ground at an angle of 42.9°. What is its…

A: Given data:  Maximum Height (hmax) = 3.45 m Angle (θ) = 42.9°,above the horizontal Required: The…

Q: A pebble is thrown downward from a 56.0-m-high cliff with an initial speed of 5.00 m/s. How long…

A:

Q: In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The…

A: At t= 0 , we have : y(0) = 0.07 m Vy(0) = 0 ay(0) = 0.03 m/s2  Vy(∞) = 0.45 m/s To find = A , B , C…

Q: A skydiver leaps out of an airplane but accidentally forgets their parachute. They fall for 6.80 s…

A:

Q: A dog running in an open field has components of velocity v_x = 2.0 m/s and v_y = -1.6 m/s at time…

A: Using kinematics equation in component form we can solve the problem as solved below.

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 –