Question

A projectile is launched from a cannon; it has an initial speed of 85 m/s at an angle of 33 degrees above horizontal. The muzzle of the cannon is 2.5 meters above the ground. How far down range will the projectile land?

Answer #1

in vertical direction:

vi = 85*sin 33 = 46.3 m/s

a= -9.8 m/s^2

d = -2.5 m

use:

d = vi*t + 0.5*a*t^2

-2.5 = 46.3*t + 0.5*(-9.8)*t^2

4.9*t^2 - 46.3*t - 2.5 = 0

This is quadratic equation (at^2+bt+c=0)

a = 4.9

b = -46.3

c = -2.5

Roots can be found by

t = {-b + sqrt(b^2-4*a*c)}/2a

t = {-b - sqrt(b^2-4*a*c)}/2a

b^2-4*a*c = 2.193*10^3

roots are :

t = 9.50 and t = -5.369*10^-2

since t can't be negative, the possible value of t is

t = 9.50 s

in horizontal direction:

v = 85*cos 33 = 71.3 m/s

t = 9.50 s

So,

range = v*t

= 71.3 m/s * 9.50 s

= 677 m

Answer: 677 m

A projectile is launched upward with an initial velocity of 25
m/s at an angle of 53 degrees above the horizontal.
How far will the projectile travel horizontally before it
reaches the same height it was launched from?
How long will the projectile be in the air if it is launched
from a height of 32 meters above flat ground?
The answers are 60m and 5.2s. Can you please show how to get to
that?

You launch a projectile at an initial speed of 46.4 m/s from the
ground. After 5.70 seconds of flight, the projectile lands on the
ground. At what angle above the horizontal was the projectile
launched?
A) 26.5 degrees
B) 24.1 degrees
C) 37.1 degrees
D) 48.2 degrees

A projectile is launched 3.0 meters above the ground. The
initial velocity of the projectile is and can vary between 15.0 m/s
- 75.0 m/s with an initial angle of that can vary between 10.0 -
80.0 . You are free to choose any values between these ranges.
Clearly indicate your value for and . a) What is the maximum height
of the projectile? b) How long is the projectile in the air? c) How
far from the launch does...

1a. You launch a projectile at an initial speed of 43.8 m/s from
the ground. After 4.30 seconds of flight, the projectile lands on
the ground. At what angle above the horizontal was the projectile
launched?
b. A projectile is fired from the ground, reaches a maximum
height of 28.4 m and lands a distance of 69.3 m away from the
launch point. What was the projectile s launch velocity?
c. You launch a projectile toward a tall building, from...

A projectile is launched 3.0 meters above the ground. The
initial velocity of the projectile is vi and can vary between 15.0
m/s - 75.0 m/s with an initial angle of θi that can vary between
10.0o - 80.0o. You are free to choose any values between these
ranges. Clearly indicate your value for vi and θi. a) What is the
maximum height of the projectile? b) How long is the projectile in
the air? c) How far from the...

If a projectile is launched from the ground with a speed of 18
m/s at an angle of 60o.
Calculate the time it spends in the air? Show all your work
below.
How far does it land from the point of launch? Show all your
work below.

A): A projectile is given an initial velocity of 34.4 m/s at an
angle of 57.5 degrees with respect to the horizontal. How far has
it moved in the x-direction at the time when its speed in the
y-direction is 10.3 m/s?
b): A projectile is launched with an initial velocity of 31.5
m/s at 68.2 degrees with respect to the horizontal. What is the
speed of the projectile 1.05 s after being launched. Assume the
speed is measured in...

A projectile is launched with an initial speed of 40.0 m/s at an
angle of 35.0° above the horizontal. The projectile lands on a
hillside 3.85 s later. Neglect air friction. (Assume that the
+x-axis is to the right and the +y-axis is up along the page.) (a)
What is the projectile's velocity at the highest point of its
trajectory? magnitude m/s direction ° counterclockwise from the
+x-axis (b) What is the straight-line distance from where the
projectile was launched...

A projectile is launched from ground level with the initial
velocity of 50.0 m/s. The time of the flight is measured to be 6.00
s. How far from the launch point does the projectile land? Neglect
the air resistance and use
g = 10.0 m/s2.

A 4.0 kg projectile is launched into the air with an initial
velocity of 15 m/s at an angle of 30° above the horizontal. When
the projectile reaches its maximum height it explodes, splitting in
two parts, one of mass 3.0 kg and one of mass 1.0 kg. Assume the
explosion was essentially instantaneous.
Determine the maximum height of the projectile using energy.
After the explosion, if the 1.0 kg mass is moving at 1/2 the
speed it was right...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 31 minutes ago

asked 33 minutes ago

asked 41 minutes ago

asked 50 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago