The optimum angle to launch a projectile is the angle which gives maximum horizontal range. Using basic differential calculus , we can differentiate the function for horizontal range wrt θ and set it to zero allowing us to find the peak of the curve (of the graph of range versus launch angle, not the peak of the actual trajectory). Example John kicks the ball and ball does projectile motion with an angle of 53º to horizontal. Its initial velocity is 10 m/s, find the maximum height it can reach, horizontal displacement and total time required for this motion. (sin53º=0, 8 and cos53º=0, 6) Example In the given picture you see the motion path of cannonball. Find the ... , A projectile is launched at 55 Degrees. It reaches its highest point in 20 seconds. Find its initial velocity. tried to google but every single page has the distance given but that is not whats in my problem since I only have time and the angle given..... how do I solve this? , Projectile motion refers to the motion of an object projected into the air at an angle. Here we can calculate Projectile motion for Vertical Velocity. Implantation 3 dpoProjectile motion calculator solving for initial velocity given range, projection angle and gravity Projectile Motion Equations Formulas Calculator - Initial Velocity Projection Angle AJ Design Nov 20, 2019 · Velocity is a function of time and defined by both a magnitude and a direction. Often in physics problems, you will need to calculate the initial velocity ( Using the information given in a problem, you can determine the proper equation to use and easily answer your question.

# How to find initial velocity of a projectile with angle and time

**In this paper, we examine how to ﬁnd the optimal launch angle, which is the angle at which a projectile is launched that maximizes its horizontal distance traveled. We ﬁnd that this angle depends on numerous factors, including the projectile’s initial velocity, the e↵ects of air resistance, and the surface upon which the projectile lands. Oct 06, 2017 · These variables should include your final velocity, initial velocity, distance, acceleration, and time. Since this is projectile motion problem, however, there are different values for the object in the x and y direction. This means you will need to make two lists. It is important to read the question carefully and label your values accordingly. projectile motion lab purpose determine the initial velocity of ball launched horizontally predict and verify the range of ball launched at an angle equipment. **

Determine that the x and y motion of a projectile are independent. Investigate the variables that affect the drag force. Describe the the effect that the drag force has on the velocity and acceleration. Discuss projectile motion using common vocabulary (such as: launch angle, initial speed, initial height, range, time). Standards Alignment Jan 24, 2010 · To find the average velocity of a projectile, use V = D/T (Velocity equals Displacement over Time). Asked in Physics How does initial velocity affect the projectile in motion ?

Hello guys im new here. Im making a game like gunbound or worms, and i need help to make computer hit the target with wind force. My plan is to use a fixed angle, and to find initial velocity to launch the projectile. respective xand ycomponents of the initial vector velocity v o; is the angle relative to the horizontal at which the projectile is launched. v ox = v o cos and v oy = v o sin In the classic projectile problem you want to calculate how far a projectile travels horizontally (its range) given v o and . Equation 2 gives the total ight time to the ... An object is fired from a cliff 50m high, at an initial velocity of 100 m/s at an unknown angle. You have to find the angle required to fire the object to a bucket 10m away that is 2m tall. I have tried to solve it but I just seem to be going in circles. I think there are too many variables. respective xand ycomponents of the initial vector velocity v o; is the angle relative to the horizontal at which the projectile is launched. v ox = v o cos and v oy = v o sin In the classic projectile problem you want to calculate how far a projectile travels horizontally (its range) given v o and . Equation 2 gives the total ight time to the ... launch angle is 30 degrees and the pull-back angle is 60 degrees. Figure 4. Illustration of the launch angle and pull-back angle on the catapult. Remember that our goal is to calculate the initial velocity of the ball, so we can then use the projectile motion equations to predict its path. Oct 25, 2019 · The notes from my lecture “Projectiles 101” may be useful to you: At any time t, a projectile's horizontal and vertical displacement are: x = VtCos θ where V is the initial velocity, θ is the launch angle y = VtSinθ – ½gt^2 The velocities are the ... By substituting the horizontal and vertical velocities, the resulting equation was found and used in order to find the velocity initial. Hypothesis: If the launch angle, height of launch, and distance traveled is calculated, then the initial velocity can be found using a resulting equation.