The short answer is 28 m/s.
Here is how you come to this. There is a basic physics formula you use to determine the distance something has traveled, using your initial distance/position, initial velocity, acceleration and time. This formula is:
x = x0 + v0t + 1/2at^2
(x0 is x-naught, the initial distance, v0 is v-naught, the initial velocity. The zero should be a subscript).
The formula for it's velocity is simply the first derivative of the distance formula, which is:
v = v0 + at
To find the velocity it is at after it has traveled 40m, we first need to know the time it took to fall 40m, so we can make use of our distance formula. We know that we have traveled 40m, so we use that for x. We can say our initial position is 0m and our initial velocity is 0m/s. Our acceleration is that of gravity, which is 9.8m/s/s. We plug these in and solve for t:
40 = 0 + 0t + 1/2(9.8)t^2
40 = 4.9t^2
t = sqrt(40/4.9) = approximately 2.86
Then, we just use that time and the same acceleration and plug them into our velocity formula:
v = 0 + 9.8(2.86)
v = 9.8(2.86)
v = 28 m/s
(It's exactly 28 m/s if you use the exact value for t)
25m = 1/2gt^2 so 25 = 1/2gt^2 g = 9.8 m/s^2 1/2g = 4.9 25/4.9 = t^2 = 5.1, sq-root 5.1 = t = 2.2587... secs 40m /2.2587 = horizontal velocity = 17.7 m/s
initial velocity, angle of launch, height above ground When a projectile is launched you can calculate how far it travels horizontally if you know the height above ground it was launched from, initial velocity and the angle it was launched at. 1) Determine how long it will be in the air based on how far it has to fall (this is why you need the height above ground). 2) Use your initial velocity to determine the horizontal component of velocity 3) distance travelled horizontally = time in air (part 1) x horizontal velocity (part 2)
In projectile motion, since , there's no force in the horizontal direction which can change the horizontal motion therefore the horizotal velocity remains conserved Vx=Vox= Vocos theta by using above formula , constant horizontal initial or final velocity can be found. since Initial = final horizontal velocity.
You kicked the rock with an initial velocity of 3.4 m/s.
If a ball is thrown horizontally from a window on the second floor of a building, the vertical component of its initial velocity is zero.
A projectile that is thrown with an initial velocity,that has a horizontal component of 4 m/s, its horizontal speed after 3s will still be 4m/s.
initial velocity, angle of launch, height above ground When a projectile is launched you can calculate how far it travels horizontally if you know the height above ground it was launched from, initial velocity and the angle it was launched at. 1) Determine how long it will be in the air based on how far it has to fall (this is why you need the height above ground). 2) Use your initial velocity to determine the horizontal component of velocity 3) distance travelled horizontally = time in air (part 1) x horizontal velocity (part 2)
initial velocity, angle of launch, height above ground When a projectile is launched you can calculate how far it travels horizontally if you know the height above ground it was launched from, initial velocity and the angle it was launched at. 1) Determine how long it will be in the air based on how far it has to fall (this is why you need the height above ground). 2) Use your initial velocity to determine the horizontal component of velocity 3) distance travelled horizontally = time in air (part 1) x horizontal velocity (part 2)
In projectile motion, since , there's no force in the horizontal direction which can change the horizontal motion therefore the horizotal velocity remains conserved Vx=Vox= Vocos theta by using above formula , constant horizontal initial or final velocity can be found. since Initial = final horizontal velocity.
If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).
You kicked the rock with an initial velocity of 3.4 m/s.
If a ball is thrown horizontally from a window on the second floor of a building, the vertical component of its initial velocity is zero.
A projectile that is thrown with an initial velocity,that has a horizontal component of 4 m/s, its horizontal speed after 3s will still be 4m/s.
Final velocity = Initial velocity +(acceleration * time)
The initial velocity is sqrt(5) times the vertical component, and its angle relative to the horizontal direction, is 0.46 radians (26.6 degrees).
Initial horizontal velocity = ux (Note this velocity does not affect by gravity so stays the same throughout the jump) Initial vertical velocity = uy = 0 time to travel horizontal distance, t = (horizontal distance)/(horizontal velocity) t = 100/ux This is the same time the car takes to travel vertical distance. Using one of the equation of motion vertical landing velocity, vy = uy + gt vy = 0 + (9.81)(100/ux) vy = 981/ux angle of landing = 30° tan30° = vy/ux tan30° = (981/ux)/ux (ux)² = 981/tan30° ux = 41.22 m/s
When a ball is kicked at an angle, there is no acceleration along the horizontal direction (since there isn't any force along the direction ,ignoring viscous forces), so , its velocity along the horizontal direction remains unchanged.... according to the 1st law , velocity changes only when a net resultant force is applied on the ball , so , Newton's law is valid. only the initial angle of kick and the vertical component of velocity are mainly responsible for the distance travelled by the ball horizontally....
angle of projection,initial velocity and gravitational acceleration