Thus
doubling the velocity will quadraple the maximum height if the angle of projectile remains same
.
How does initial speed affect projectile motion?
This depends on the
initial velocity of the projectile and the angle of projection
. When the projectile reaches a vertical velocity of zero, this is the maximum height of the projectile and then gravity will take over and accelerate the object downward.
What is the initial speed of the projectile?
The time for projectile motion is completely determined by the vertical motion. So any projectile that has an initial vertical velocity of
14.3 m/s
and lands 20.0 m below its starting altitude will spend 3.96 s in the air.
What is the effect of the initial speed to the height and range of the projectile?
Just like the case of the time of flight, we see that maximum height reached by the projectile depends on
both initial speed and the angle of projection (θ)
. Greater the initial velocity and greater the angle of projection from horizontal direction, greater is the height attained by the projectile.
What happens to distance when initial velocity is doubled?
Doubling the initial velocity,
the stopping distance of moving object increases by a factor of 4
(for the same deceleration).
Why is 45 degrees the best angle for projectile motion?
The sine function reaches its largest output value, 1
, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.
What are the factors that affect a projectile motion?
FACTORS AFFECTING PROJECTILE MOTION
There are three main factors that affect the trajectory of an object or body in flight:
the projection angle, magnitude of projection velocity and height of projection
.
What is G in projectile motion?
We can obtain the equations for projectile motion by plugging the appropriate accelerations into the two-dimensional motion equations:
g = 9.8m/s
2
= 32ft/s
2
at the surface of the Earth. The minus sign appearing in the equations indicates that the y-axis must point upwards, or opposite the direction of gravity.
Is motion where the speed and direction do not change?
constant velocity
: Motion that does not change in speed nor direction.
Can initial velocity be zero?
When a body starts from rest or it changes it direction of motion,it is called as initial velocity. We generally consider
initial velocity is equal to zero
(u=0),only when the object starts from rest. Generally at time (t=0),the initial velocity is zero.
What is mean by maximum horizontal range for a projectile What are the factors that depend on it?
A projectile is often thought of as having two independent and simultaneous motions – a motion in the horizontal direction and a motion in the vertical direction. … The horizontal distance depends on two factors:
the horizontal speed (vox) and the time the projectile has been in the air
.
Why is time the same in projectile motion?
Objects experiencing projectile motion have a constant velocity in the horizontal direction, and a constantly changing velocity in the vertical direction. … The time required for initially horizontal projectile motion to occur is the
same as the time required for the object to fall to its final height
.
What launch angle do you think will yield the longest drive?
A projectile, in other words, travels the farthest when it is launched at an angle of
45 degrees
.
What happens to acceleration when speed is doubled?
Acceleration is the rate of change of velocity with respect to time. If the velocity is doubled, then
it is due to acceleration only
. In other words, by changing the acceleration, the velocity is doubled. So, if the velocity is doubled, the acceleration will not double.
How is range affected if velocity is doubled?
As the vertical component of the velocity has been doubled, it will take gravity twice as long to pull it back to Earth, meaning it stays airborne twice as long. The horizontal component has also been doubled, so it travels horizontally twice as fast for twice as long, meaning the
range increases by a factor of four
.
What happens to the stopping distance if the velocity of a car is doubled?
By the Work-Energy Theorem, the work done
in stopping the car = change in kinetic energy
. Hence, the stopping distance is quadrupled if the speed is doubled.
