The horizontal velocity is irrelevant, so ignore it. It doesn't matter whether it's going 4 m/s, 40 m/s or 4000 m/s. The object will hit the ground in the same amount of time. In fact, if you calculate the time it would take for an object to fall 10 meters, you'll have your answer.
y = y0 + v0t - (1/2)gt2
Delta(y) = -(1/2)gt2
t = sqrt(2 x Delta(y)/g)
t = sqrt(2 x 10/ 10)
t = 1.414s
You can use the formula for distance covered:distance = (initial velocity) x (time) + (1/2) (acceleration) (time squared) Solve for time. This assumes constant acceleration, by the way. If you assume that the initial velocity is zero, then you can omit the first term on the right. This makes the equation especially easy to solve.
The horizontal velocity has no bearing on the time it takes for the ball to fall to the floor and, ignoring the effects of air resistance, will not change throughout the ball's fall, so you know Vx. The vertical velocity right before impact is easily calculated using the standard formula: d - d0 = V0t + [1/2]at2. For this problem, let's assume the floor represents zero height, so the initial height, d0, is 2. Further, substitute -g for a and assume an initial vertical velocity of zero, which changes our equation to 0 - 2 = 0t - [1/2]gt2. Now, solve for t. That gives you the time it takes for the ball to hit the floor. If you divide the distance traveled by that time, you know the average vertical velocity of the ball. Double that, and you have the final vertical velocity! (Do you know why?) Now do the vector addition of the vertical velocity and the horizontal velocity. Remember, the vertical velocity is negative!
We assume you mean the work done in order to change the velocity of the moving mass.Easiest way is to calculate the change in the kinetic energy of the moving mass, and realizethat it's equal to the amount of work either put into the motion of the mass or taken out of it.Initial kinetic energy = 1/2 m Vi2Final kinetic energy = 1/2 m Vf2Change in kinetic energy = 1/2 m ( Vf2 - Vi2)
According to the Laws of Physics, Horizontal Velocity is unaffected by Vertical Velocity. Thus you need to first find how long it will take the stone to hit the ground. Assume: Acceleration due to gravity = 9.8 m/s^2 Velocity due to gravity = 9.8x m/s, where x is seconds Displacement due to gravity = 9.8x^2 m, where x is seconds Set Displacement = to 78.4m 78.4m = 9.8x^2 m and solve for.. x = sqrt(8) = 2 sqrt(2) Then to find displacement horizontally, multiply time*velocity horizontally distance from base of cliff = (2 sqrt(2))s * 8 m/s = 16 sqrt(2) m
position final = position initial + (speed initial)(time) + .5(acceleration)(time^2) 0=300 + 0(x) +.5(-9.807)(x^2) 0=300 + 0 + -4.9035(x^2) -300=-4.9035(x^2) -300 / -4.9035 = x^2 61.18 = x^2 x = 7.82 seconds That is to assume that the initial speed is 0. This is incorrect. The initial distance is in feet, 300 feet, but the rate of acceleration is in meters per second squared, (-9.807 meters per second squared). To get the correct answer, the units of measurement must match, either feet or meters. The correct answer is 4.32 seconds.
initial velocity on xx=vi*cos(angle) 53.62 kmh 14.89 ms
the initial velocity of the rocket is zero.
The final velocity is simply acceleration x time. The distance can be calculated from: d = 1/2 acceleration time squared + (initial speed) x time Since the initial speed is assume to be zero, you can simply ignore the second term. The acceleration due to gravity is approximately 9.8 meters per second squared.
If you throw an object up, and assume that air resistance is negligible, knowing the initial velocity is enough. One way to do this is to use conservation of energy. Calculate the energy from the initial velocity, then insert it in the formula for gravitational potential energy.Same for final velocity - the final speed is the same as the initial speed. If you know the work done, you already have the first half of the above steps solved.
You can use the equation: final velocity = initial velocity + acceleration * time. Rearrange the equation to solve for initial velocity: initial velocity = final velocity - acceleration * time. Simply substitute the given values for final velocity, acceleration, and time into the equation to find the initial velocity.
The distance traveled can be calculated using the equation: distance = initial velocity * time + 0.5 * acceleration * time^2. If the acceleration is 0.5 m/s^2 and time is 20 seconds, we would need to know the initial velocity to determine the total distance traveled.
The average deceleration of the person underwater can be estimated by calculating the change in velocity over the distance traveled. First, calculate the initial velocity when the person enters the water using the equation v^2 = u^2 + 2as, where v = final velocity (0 m/s), u = initial velocity, a = acceleration due to gravity (-9.8 m/s^2), and s = distance traveled (2 m). After finding the initial velocity, divide it by the time taken to stop underwater (you can assume a typical value based on personal experience or research) to estimate the average deceleration.
Anything at all ... BUT if you want to assume a steady speed THEN 12.5 miles per minute = 750 mph
When you say initial speed I assume there will be accelleration. If so you could you: s = ut + 1/2at^2. or s = 1/2(u + v)t where s is distance in meters u is initial velocity in ms v is the final velocity in ms a is accelleration in ms^-2 t is time in s If there is no accelleration then s = ut
You can use the formula for distance covered:distance = (initial velocity) x (time) + (1/2) (acceleration) (time squared) Solve for time. This assumes constant acceleration, by the way. If you assume that the initial velocity is zero, then you can omit the first term on the right. This makes the equation especially easy to solve.
The horizontal velocity has no bearing on the time it takes for the ball to fall to the floor and, ignoring the effects of air resistance, will not change throughout the ball's fall, so you know Vx. The vertical velocity right before impact is easily calculated using the standard formula: d - d0 = V0t + [1/2]at2. For this problem, let's assume the floor represents zero height, so the initial height, d0, is 2. Further, substitute -g for a and assume an initial vertical velocity of zero, which changes our equation to 0 - 2 = 0t - [1/2]gt2. Now, solve for t. That gives you the time it takes for the ball to hit the floor. If you divide the distance traveled by that time, you know the average vertical velocity of the ball. Double that, and you have the final vertical velocity! (Do you know why?) Now do the vector addition of the vertical velocity and the horizontal velocity. Remember, the vertical velocity is negative!
The relationship between radial force and angular velocity squared is described by the centripetal force equation, which states that the radial force required to keep an object moving in a circular path is equal to the mass of the object times the square of its angular velocity, multiplied by the radius of the circular path. This relationship shows that an increase in angular velocity will result in a corresponding increase in the radial force needed to maintain the object's circular motion.