Question

A skater travels in a straight line for 855 m in a direction of 25.0 degrees north of east, then 560 m in a straight line 22 degrees east of north.

a) What is the skater's resultant displacement?

b) If the motion took 4.40 min, determine the skater's average
speed and average velocity.

Answer #1

If a ball is kicked straight north along a line with a velocity
of 7 m/s and a 4 m/s wind is blowing northwest at an angle of 43
degrees (west of north), what is it's east/west displacement from
the line after 7 seconds?

A particle travels along a straight line with a velocity
v=(12−3t^2) m/s , where t is in seconds. When t = 1 s, the particle
is located 10 m to the left of the origin.
Determine the displacement from t = 0 to t = 7 s.
Determine the distance the particle travels during the time
period given in previous part.

A car travels along a straight line at a constant speed of 44.5
mi/h for a distance d and then another distance d in the same
direction at another constant speed. The average velocity for the
entire trip is 33.5 mi/h.
(a) What is the constant speed with which the car moved during
the second distance d? mi/h
(b) Suppose the second distance d were traveled in the opposite
direction; you forgot something and had to return home at the...

You have a small boat which travels through water at a speed of
6.0 m/s. You take it out on a section of a local river where the
water flows from north to south at a speed of 4.0 m/s.
(a) First, you head south (i.e. downstream) in your boat. Draw a
vector which represents the velocity of the boat relative to the
water, and a vector that represents the velocity of the water
relative to the shore. Then add...

A 1,270-kg car traveling initially with a speed of 25.0 m/s in
an easterly direction crashes into the rear end of a 8,600-kg truck
moving in the same direction at 20.0 m/s (see figure below). The
velocity of the car right after the collision is 18.0 m/s to the
east.
(a) What is the velocity of the truck right after the
collision?
m/s (east)
(b) How much mechanical energy is lost in the collision?
J
Account for this loss in...

A man sprints in a straight line for 50.0 m in 10.0 s, and then
walks slowly back to the starting line in 50.0 s. The “sprint
direction” is taken to be positive. Match the answer choices with
the proper average velocity or speed.
- A.
B. C.
D.
What is the average sprint velocity ?
- A.
B. C.
...

A pair of figure skaters glide holding hands on a frictionless
ice rink, at a speed of 3.0 m/s and heading due East in a straight
line. They then push away from each other. Skater A, of mass 48 kg,
glides off at a speed of 3.8 m/s and at angle of 29 degrees
counterclockwise with respect to the original direction. Skater B
has a mass of 72 kg.
a. After they push off from each other, what is the...

Bill and Jill both average swimming speeds of 3.0 m/s, in a pool
(that has no current). Bill and Jill go down to the river for a
swim, the river has a current of 1.0 m/s straight EAST and is 1.50
x 102 m in width. They are standing on the SOUTH shore. a.Bill, not
thinking about the current, jumps in and swims straight across to
the North shore. Of course the current affects his resultant
velocity and he doesn’t...

At one instant a bicyclist is 45.0 m due east of a park's
flagpole, going due south with a speed of 14.0 m/s. Then 32.0 s
later, the cyclist is 45.0 m due north of the flagpole, going due
east with a speed of 14.0 m/s. For the cyclist in this 32.0 s
interval, what are the (a) magnitude and (b) direction of the
displacement, the (c) magnitude and (d) direction of the average
velocity, and the (e) magnitude and...

A 1,240-kg car traveling initially with a speed of 25.0 m/s in
an easterly direction crashes into the rear end of a 8,700-kg truck
moving in the same direction at 20.0 m/s (see figure below). The
velocity of the car right after the collision is 18.0 m/s to the
east.
Two images depicting a before and after scenario of a car
colliding with the back of a truck.
Before: The car is moving at a velocity of
+25.0 m/s. This...

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