Question

Projectile in 2D: A ball is thrown with initial speed V , at an angle θ above the horizontal, over flat ground. Show that the motion is restricted to a single plane. Neglecting air resistance, find (a) the time taken for the ball to reach the ground; (b) the maximum height reached by the ball; (c) the horizontal distance travelled by the ball before hitting the ground (range); (d) the kinetic and potential energies at the position of maximum height (and verify that their sum equals the initial energy). The following are experimental data on the range and muzzle velocity of mortar shells, all fired at 45◦ to the horizontal. The time of flight is also tabulated. Compare the ranges and times with the simple treatment above. How would you explain any differences?

Muzzle Velocity (m/s) Range (m) Time (s)

101.8 972 14.4

112.2 1160 15.7

121.9 1349 17.0

131.4 1539 18.2

Answer #1

A ball is thrown with an initial speed vi at an angle θi with
the horizontal. The horizontal range of the ball is R, and the ball
reaches a maximum height R/8. In terms of R and g, find the
following.
(a) the time interval during which the ball is in motion t =
(b) the ball's speed at the peak of its path v =
(c) the initial vertical component of its velocity yi =
(d)...

A
ball is thrown from the roof of a building. The initial velocity
vector is at an angle of 53.0° above the horizontal. It is at
maximum height in 1.04 seconds. Express all vectors in terms of
unit vectors i and j. The ball strikes the ground at a horizontal
distance from the building of 33.1 meters.
a.) What is the vertical velocity (vector) at t=1.04
seconds?
b.) What is the initial vertical velocity (vector)?
c) What is the inital...

A
ball is thrown upward from a height of 3m at an initial speed of 45
m / sec. Acceleration resulting from gravity is -9.8 m/sec^2.
Neglecting air resistance, solve for the velocity, v(t), and the
height, h(t), of the ball t seconds after it is thrown and before
it hits the ground.

A ball is thrown upward with an initial velocity of 17.0 m/sm/s
at an angle of 65.0 ∘∘ above the horizontal.Use energy conservation
to find the ball's greatest height above the ground. Please show
your work.

A ball is thrown upward with an initial velocity of 16.0 m/s at
an angle of 50.0 degrees above the horizontal. Use energy
conservation to find the ball's greatest height above the
ground.

Nicholas throws a ball with an initial speed of 10.00 m/s at
an angle of 58° above the horizontal. The ball leaves her hand 0.88
m above the ground and experience negligible air resistance.
(a)How far from where the child is standing does the ball hit
the ground?
(b)How long is the ball in flight before it hits the
ground?
(c)What is the magnitude of the ball's velocity just before
it hits the ground?
(d)At what angle below the horizontal...

A ball is kicked with
an initial velocity of 20 m/s at an angle of 30o above
the horizontal. Calculate the following:
At what speed does the ball hit the ground?
For how long does the ball remain in the air?
What maximum height is attained by the ball?

A ball is thrown with an initial speed of 30m/s at an angle of
45 degrees. Assume the ball is thrown from ground level and lands
on the ground.
a) find the time of flight in secs?
b) find the maxium height in meters?
c) find the distance from where the ball is thrown to where it
lands in meters?
d) find the speed at the impact in meters/sec?

A projectile is launched at a height of 5ft. On the ground with
an initial speed of 1000 feet per second and an angle of 60 with
the horizontal. Use the movement of a projectile that does not
consider air resistance and determines:
The vector function that describes the position of the
projectile
The parametric equations that describe the motion
The time it took for the projectile to go up
The maximum height
The time of flight
The maximum horizontal...

A ball is thrown from a point 1.10 m above the ground. The
initial velocity is 19.7 m/s at an angleabove the horizontal. If
the maximum height of the ball aboveground is 7.29 m, what was the
angle atwhich the ball was thrown? Answer in degrees. [Hint:all
information necessary to solve this problemis providedl.]

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 23 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 36 minutes ago

asked 52 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago