Question

A stone is catapulted at time t = 0, with an initial velocity of magnitude 18.6 m/s and at an angle of 37.0° above the horizontal. What are the magnitudes of the

(a) horizontal and

(b) vertical components of its displacement from the catapult site at t = 1.01 s? Repeat for the

(c) horizontal and

(d) vertical components at t = 1.76 s, and for the

(e) horizontal and

(f) vertical components at t = 5.11 s. Assume that the catapult is positioned on a plain horizontal ground.

Answer #1

As we know that

Horizontal and vertical movement are independent of each other
so we can solve them one at a time with triangle.

Hypotenuse: 18.6 m/s

x ===>cos 37 = x/18.6

0.79863551 = x/18.6

x= 14.85462049 m/s

y===> sin 37 = y/18.6

y= 11.19375943 m/s

d = vt

dx = 14.85462049 * 1.01 = 15.00316669 m @ t=1.01s

dx = 14.85462049 * 1.76 = 26.14413206 m @ t=1.76s

dy = 11.19375943*1.01 = 11.30569702 m @ t = 1.01

dy = 11.19375943*1.76 = 19.7010166 m @ t = 1.76

A stone is kicked so that it leaves the ground with an initial
velocity of 10.0 m/s at an angle of 37.0deg. The stone is kicked
toward a loading dock whose near edge is 3.00m away and 1.00m
high.
a.) What are the components of the stone's initial velocity? (I
have 7.99m/s (horizontal) + 6.02m/s (vertical))
b.) How high does it go? (I have 1.85 m)
c.) How far from the edge does it strike the dock?
d.) How fast...

A stone thrown from the top of the building is given an initial
velocity of 8 m/s at an angle of 20.0o below horizontal. It strikes
the ground 3.00 s later. (a) How far horizontally from the base of
the building does the stone strike the ground? (b) Find the height
from which the stone is thrown? (c) How long does it take the ball
to reach a point 10.0 m below the level of launching? (d) What are
the...

A stone is projected at a cliff of height ℎ = 52 ? with an
initial speed of 42.0 ?/? directed at angle ?? = 60.0° above the
horizontal. A. Find the vertical and horizontal components of the
ball’s initial velocity. (2 mark) B. Find the maximum height ? that
the ball reaches. C. Find at what time the stone strikes
?. D. Find the ball velocity (in unit vector nutation)
just before it strikes ?. E. At what horizontal...

A projectile has an initial velocity of 45 m/s at an angle of
53o with respect to the horizontal and begins at ground
level.
a. What are the x and y components of the projectile’s initial
velocity?
b. What is the maximum height of the projectile?
c. How far away from where it begins does the object strike the
ground?
d. What is the magnitude and direction of the projectile’s velocity
at t= 3 s?
e. What is the displacement...

A rocket is fired at an angle of 25° to the ground and with an
initial velocity of 120 m/s. Resolve the vector into its vertical
and horizontal components and state the magnitudes of each
component.

An electron, with an initial horizontal velocity of magnitude
5.60 × 109 cm/s, travels into the region between two
horizontal metal plates that are electrically charged. In that
region, it travels a horizontal distance of 2.93 cm and has a
constant downward acceleration of magnitude 7.18 × 1017
cm/s2 due to the charged plates. Find
(a) the time required by the electron to travel
the 2.93 cm and (b) the vertical distance it
travels during that time. Also find the...

A
stone is thrown from the top of a cliff with the initial velocity
of 20.0 m/s straight upward. The cliff is 50.0 m high and the stone
just misses the edge of the cliff on its way down. Determine (a)
the time needed for the stone to reach its maximum height; (b) the
maximum height, as measured from the ground; (c) the time needed
for the stone to return to the level of the thrower; (d) the
velocity of...

A catapult is placed on flat ground. It launches a guitar into
the air at a 30◦ angle above the horizon and an initial speed of 20
m/s. Ignore air resistance. If the guitar is released at a height
2.0 m above the ground at time t = 0, calculate
(a) the horizontal and vertical components of the initial
velocity,
(b) the time t when the guitar hits the ground again,
(c) the horizontal range of the guitar,
(d) the...

Initial velocity of a shell fired is 40 m/s at an angle of 60º
above the horizontal. Draw a schematic sketch of the projection
motion and write down the basic equations needed to solve this
problem. (a) Find horizontal and vertical components of shell’s
initial velocity. (b) How long does it take for the shell to reach
the maximum height above ground? (c) At its highest point, what are
the horizontal and vertical components of its acceleration and
velocity? (Ignore...

A student stands at the edge of a cliff and throws a stone
horizontally over the edge with a speed of
v0 = 17.5 m/s.
The cliff is h = 26.0 m above a flat, horizontal beach
as shown in the figure.
A student stands on the edge of a cliff with his hand a height
h above a flat stretch of ground below the clifftop. The
+x-axis extends to the right along the ground and the
+y-axis extends up...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 21 minutes ago

asked 28 minutes ago

asked 35 minutes ago

asked 57 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago