Since you found it takes 2.85 for the pumpkin to reach the ground, it must take 1.43 to reach the maximum height, which gives .
When the pumpkin is shot straight upward with an initial speed of 14 m/s What is the maximum height above its initial location?
Erase all the trajectories, and fire the pumpkin vertically again with an initial speed of 14 m/sm/s. As you found earlier, the maximum height is 9.99 mm . If the pumpkin isn't fired vertically, but at an angle less than 90∘90∘, it can reach the same maximum height if its initial speed is faster.
How long until the cannonball hits the ground?
It takes about 88 seconds for the cannonball to reach its maximum height (ignoring air resistance). You have 176 seconds, or 2 minutes and 56 seconds , until the cannonball destroys the cannon that fired it.
What angle in degrees will give you the greatest height?
The peak height of a projectile is determined by the initial value of the vertical velocity component. The greater the initial value of v y , the higher that a projectile will rise. The projectile launched at 60-degrees has the greatest v y , and as such the greatest peak height.
For Which angle is the range a maximum with the initial speed held constant )?
For which angle is the range a maximum (with the initial speed held constant)? Answer is 45% H .
Why is 45 degrees maximum range?
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.
How can you tell how long a ball is in the air?
Use the vertical motion model, h = -16t2 + vt + s where v is the initial velocity in feet/second and s is the height in feet to calculate how long the basketball will be in the air for.
At what angle should the ball be kicked?
That means that the best way to launch a high-altitude projectile is to send it flying at a 90-degree angle to the ground —straight up.
What angle is 45?
A 45-degree angle is an acute angle . It is half of the right angle or 90-degree angle. An angle bisector of a 90-degree angle forms two equal angles of 45 degrees each. The 45-degree angle can be seen in so many places in our day-to-day life, such as in scissors, doors, windows, etc.
What is the best launch angle for maximum range?
For ideal projectile motion, which starts and ends at the same height, maximum range is achieved when the firing angle is 45° . If air resistance is taken into account, the optimal angle is somewhat less than 45° and this is often considered obvious.
Why is 45 the best launch angle?
A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees. ... That means that the best way to launch a high-altitude projectile is to send it flying at a 90-degree angle to the ground —straight up.
What do you call the trajectory of a projectile in free fall?
In conclusion, projectiles travel with a parabolic trajectory
What will happen to the range if we increase the angle of projection from 0 to 45?
In the nutshell, the range,R, increases with increasing angle of projection for 0° ≤ θ < 45°; the range,R, is maximum when θ = 45°; the range,R, decreases with increasing angle of projection for 45° < θ ≤ 90°. Horizontal range Horizontal range is same for a pair of projection angle.
At what angle range is maximum?
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.
At what angle will the projectile have the same range when thrown at an angle of 15 degrees 30 degrees?
3. Answer: B Explanation: A careful inspection of either Figure 1 or Table 1 reveals that the range of a projectile has an identical value for more than one launch angle. For instance, the range is the same for a 15° and a 75° angle . The range is also the same for a 30° and a 60° launch angle.
