# What launch angle do you think will yield the longest drive?

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.

The best angle for maximum height is 90 o because the initial speed all goes into the vertical component to achieve the highest height. As for the other angles, the vertical component speed is only a part of 18 m/s while the 90 shot uses all 18 m/s to travel. The best angle for air time is 10 .

Similarly, why is a 45 degree best angle for launch? The reason that 45 degrees is the best launch angle (resulting in the longest flight) is that it perfectly splits the upward and forward forces. Ninety degrees is straight up. Zero degrees is straight forward. 45 degrees is right in the middle, half of 90.

Similarly, it is asked, how does launch angle affect flight time?

Higher launch angles have greater times in the air The time in air is determined by the initial vertical velocity. Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the time in air.

How does launch angle affect range?

The largest range will be experienced at a launch angle up to 45 degrees. Launch Angle: The launch angle determines the range and maximum height that an object will experience after being launched. This image shows that path of the same object being launched at the same velocity but different angles.

### What angle gives maximum time in the air?

Given the equations of projectile motion (no air resistance), it is easy to find the launching angle theta that produces the maximum range. That angle is 45 degrees. The maximum time of flight is obtain instead for a launching angle theta=90 degrees: the projectile is launched straight up and the range is zero.

### What angle gives maximum height?

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 makes a catapult accurate?

The most efficient and accurate type of catapult, a trebuchet makes use of a heavier counterweight than the payload to provide the energy for launch. The apparatus is set up like a see-saw, with the pivot point much closer to the counterweight end at the front than to the payload and sling at the rear.

45-degree

45°

### What is maximum range of a projectile?

Maximum range of a projectile (launched from an elevation) physics classical-mechanics. If a projectile is launched at a speed u from a height H above the horizontal axis, and air resistance is ignored, the maximum range of the projectile is Rmax=ug√u2+2gH, where g is the acceleration due to gravity.

### Why is maximum range at 45 degrees?

The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees. The typical definition is the motion of an object due only to the gravitational force (no air resistance, rockets or stuff).

### Does flight range R depend on the initial velocity of the ball?

Yes, the flight range depends on . This is because the flight range R depends on θ two factors: the horizontal speed (V 0x ) and the time the projectile has been in the air. Therefor, the horizontal distance R (m) changes with changes in and V θ 0.

### What is the best angle to kick a football?

First, what is the best angle to kick the football at? If I am kicking the ball really slow, a 45° would be close to the best angle. At an angle of 45°, you get the best of both horizontal velocity and time for the ball to be in the air.

### How do angles affect projectiles?

From the initial projectile velocity equations (for component axis) more velocity is applied to the vertical component velocity as the launch angle increases. The horizontal velocity increases while vertical velocity of the projectile decreases as the launch angle goes to zero.

### How do you calculate flight time?

To find the time of flight, determine the time the projectile takes to reach maximum height. The time of flight is just double the maximum-height time. At maximum height, vy = 0. The time of flight is also determined solely by the initial velocity in the y direction and the acceleration due to gravity.

### How do you calculate trajectory?

Type in three values: velocity, angle and initial height, and in no time you’ll find the trajectory formula and its shape. Trajectory formula x = Vx * t => t = x / Vx. y = h + Vy * t – g * t² / 2 = h + x * Vy / Vx – g * (x / Vx)² / 2. y = h + x * (V0 * sin(α)) / (V0 * cos(α)) – g * (x / V0 * cos(α))² / 2.