Answer:
v² = u² + 2x²
Explanation:
v² = u² + 2as is only valid for constant acceleration. Here, the acceleration is a function of position. We can find the function of velocity by integrating. Acceleration is the derivative of velocity with respect to time:
a = 2x
dv/dt = 2x
Apply chain rule:
dv/dt = dx/dt × dv/dx
dv/dt = v × dv/dx
Therefore:
v dv/dx = 2x
Separate the variables and integrate:
v dv = 2x dx
½ v² |ᵤᵛ = x² |₀ˣ
½ (v² − u²) = x²
v² − u² = 2x²
v² = u² + 2x²
Answer:
19 m/s
Explanation:
The complete question requires the final speed to be calculated.
Velocity is the rate and direction at which an object moves. Acceleration is the rate of change of velocity per unit time and can be calculated by the difference in velocity over a given time.
For this question, first the unknown acceleration must be calculated and used to determine the final velocity
Step 1: Calculate the acceleration
Step 2: Calculate the velocity using the acceleration calculated above
Answer:
A car weighing 15 grams
Explanation:
According to the equation that shows the relationship between mass (m), force (F), and acceleration (a) i.e. F = ma, it can be seen that with a constant force, the mass is inversely proportional to the acceleration.
This means that an increase in mass of an object denotes a decrease in acceleration of that object and vice versa. Hence, according to this question, when pushed with the same amount of force, a car with the least mass will move faster. This car is the car weighing 15grams.
Answer:
It is false, many fossils have bones and fur (etc) in them
