No. If you are talking about "velocity", then you are talking about magnitude and direction - i.e., vectors. You can't really compare vectors, in the sense of one vector being greater than another; but you can compare their magnitudes - and the magnitude is always non-negative. In this sense, you can't even have a "velocity of minus 4 m/s" - you would have a "velocity of 4 m/s in a certain direction".
The maximum height of the lollipops can be calculated using the kinematic equation ( \text{max height} = \frac{v^2}{2g} ), where ( v = 3ms ) and ( g = 9.81ms^2 ) (acceleration due to gravity). Plugging in the values, we get ( \text{max height} = \frac{3^2}{2 \times 9.81} \approx 0.46m ).
The momentum of the ball can be calculated using the formula: momentum = mass x velocity. Substituting the values: momentum = 2 kg x 3 m/s = 6 kg m/s.
The vertical component of the escalator's velocity at 45 degrees can be found by multiplying the given velocity (3 m/s) by the sine of the angle (sin 45° ≈ 0.7071). So the vertical component would be 3 m/s * 0.7071 ≈ 2.12 m/s.
The kinetic energy of the bicycle can be calculated using the formula: KE = 0.5 * mass * velocity^2. Plugging in the values: KE = 0.5 * 10 kg * (3 m/s)^2 = 45 Joules. So, the kinetic energy of the bicycle is 45 Joules.
To find the distance the bus travels before stopping, we need to calculate the total time it takes to stop. The bus decelerates at 3 m/s^2, so it will take about 6.67 seconds to come to a complete stop (20 m/s divided by 3 m/s^2). Using the formula for distance traveled while decelerating (d = v_i * t - 0.5 * a * t^2), the bus will travel approximately 66.67 meters before stopping.
And what is the question? If you want the average acceleration for that time, divide the change in velocity, by the time elapsed.
1.93 m/s
Calculate the difference in velocity, Then divide that by the time. The result will be the acceleration, in this case, in meters per second squared.
The maximum height of the lollipops can be calculated using the kinematic equation ( \text{max height} = \frac{v^2}{2g} ), where ( v = 3ms ) and ( g = 9.81ms^2 ) (acceleration due to gravity). Plugging in the values, we get ( \text{max height} = \frac{3^2}{2 \times 9.81} \approx 0.46m ).
Acceleration is the change in velocity of a body over time. This means that we can determine it quite simply by dividing the change in velocity by the change in time. In your case, we have a change of velocity of 2m/s, and a change in time of 1s. Acceleration = Change in Velocity/Change in Time Acceleration = 2 m/s / 1s Acceleration = 2m/s2
Man, Money and Machine
Use Pythagoras' Theorem to find its value. For example, if it was moving at 3ms-1 in the x direction and 4ms-1 in the y direction, its absolute velocity would be the square root of (9+16), 5ms-1.
Q1 = ( V1 ) ( A1 ) = ( 3 m/s ) ( A1 )Q2 = ( V2 ) ( A2 ) + ( 3 m/s ) ( A2 )A3 = A2 = A1Q3 = Q1 + Q2V3 = ( Q1 + Q2 ) / ( A1 )V3 = ( A1 ) ( 3 m/s + 3 m/s ) / ( A1 ) = 6 m/s
The momentum of the ball can be calculated using the formula: momentum = mass x velocity. Substituting the values: momentum = 2 kg x 3 m/s = 6 kg m/s.
The vertical component of the escalator's velocity at 45 degrees can be found by multiplying the given velocity (3 m/s) by the sine of the angle (sin 45° ≈ 0.7071). So the vertical component would be 3 m/s * 0.7071 ≈ 2.12 m/s.
Since momentum equals mass times velocity, the metal ball's momentum is 2N/s (Newton seconds).
The kinetic energy of the bicycle can be calculated using the formula: KE = 0.5 * mass * velocity^2. Plugging in the values: KE = 0.5 * 10 kg * (3 m/s)^2 = 45 Joules. So, the kinetic energy of the bicycle is 45 Joules.