In a forest, an explorer walks 13 km due east, then 18 km north, then he rested for an hour. After resting, the explorer continued walking 3 km north and then finally reached the hidden cabin at 72 m west. What is the total distance walked? What is the resulting displacement of the explorer from the starting point?

Q: A woman drives 50 miles to the north. She stops, asks directions, and then drives 50 miles south. If…

A: Given,

Q: A motorist drives north for 35 minutes at 85 km per hour and then stops for 15 minutes. He then…

A: Given: The speed of the motorist in the first go is 85 km/h. The time duration is 35 min. The…

Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…

A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8

Q: travel from Winnipeg to Regina and back. The total distance is 1100km. The return to Winnipeg is…

A:

Q: A swimmer who can consistently keep the same pace to cover 50 meters in 8.41 seconds sets out to…

A: Given: Speed of current of river vrg=2.94 m/s Swimmer maintain pace to cover 50 m. in 8.41 s.

Q: A hiker walks 50 m east, then 200 m south and finally 400 m west.What is the total distance and…

A:

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: In reaching her destination, a backpacker walks with an average velocity of 1.31 m/s, due west. This…

A:

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

A:

Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: Over a duration of 230 seconds, you walk exactly 4 times around a circular track that has a radius…

A: Given data: Total time (t) = 230 s Radius of circular track (r) = 25 m Number of turns = 4 Required:…

Q: An object is fired vertically up from the edge of the top of a 80 m high building. It reaches the…

A:

Q: Problem 2: Att = 0, a truck is traveling east at a constant speed of s = 81 km/h. At an intersection…

A: Given: The speed of the truck is s. The distance between truck and car is d. The speed of the car is…

Q: A test car starts from rest on a horizontal circular track of 75-m radius and increases its speed at…

A: Given that,  The radius of the circular track, r=75 m The initial speed of the car, vi=0 m/s The…

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

A:

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: Given : v = 100 m/s d = 2 m

Q: A runner goes north 500m, turns east for 1200m, and then goes south for 1000m. What is his…

A: Given that :d1=500 m, north d2=1200 m, eastd3=1000 m, southThen,d1+d3 =500m + 1000md1+d3 =1500m We…

Q: John is walking down a road when he observes a nearby mountain that a boulder is falling. He notices…

A: Given that John is walking down a road and notices  boulder is falling that it took 1.30s for the…

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: Consider the game of baseball. A pitcher throws a ball to the catcher, with a speed of 86 miles per…

A:

Q: Problem 8: The free-body diagram shows the all of the forces acting on an object of mass y A m =…

A:

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: Write the expression for the velocity of each segment.

Q: A hare and a tortoise compete in a race over a course 2.80 km long. The tortoise crawls straight and…

A:

Q: You are instructed to travel 12.0 m and then 10.0 m. You use these instructions such that your…

A: TOTAL DISTANCE TO BE TRAVELLED IS   12.0 + 10.0 = 22.0 m given that distance D from initail point is…

Q: A rock is dropped from a 164-m-high cliff. How long does it take to fall (a) the first 82.0 m and…

A:

Q: two people start from the same point. one walks east at 5mi/h and the other walks north east at…

A:

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is…

A:

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data:  Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: The distance traveled in the original direction is given by: distance = speed x time = 640 mi/h x…

Q: After driving around and undergoing a displacement of Ar, = 21.5 km and Ar, = -14.7 km, a driver…

A: The given values are,

Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of…

A: Given,             Zig-Zag constant speed, v = 20 μm/s             Other data in the graph

Q: You have already traveled 30 miles east and then 30 miles north. To get back to the start, you…

A: Given: 30 mile east  30 mile North  Get back to the start you travel 30 miles west  t1 = 1 hour…

Q: A dog jumps in a horizontal direction with an initial speed of vo=3.2 m/s from the edge of a table…

A:

Q: John walks 1.80 km north, then turns right and walks 1.20 km east. His speed is 1.40 m/s during the…

A: Answer..

Q: A car is traveling east at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during…

A: Given data:  Initial velocity (u) = 17.5 m/s, due East Final velocity (v) = 32.5 m/s, due North Time…

Q: A car is traveling west at 22.5 m / s when it turns due south and accelerates to 37.5 m /s, alt…

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 –