Thanks you alot for correction. A car is travelling with a 5m/s in 25 minutes at a distance of 30 cm calculate initial velocity and decelaration of the car.
To calculate the initial velocity (u) and deceleration (a) of the car, we'll use the equation of motion:
Final Velocity (v) = Initial Velocity (u) + Acceleration (a) * Time (t)
Given:
Final Velocity (v) = 5 m/s
Time (t) = 25 minutes = 25 * 60 seconds = 1500 seconds
Step 1: Convert the distance from centimeters (cm) to meters (m):
Distance (S) = 30 cm = 30 / 100 = 0.3 meters
Step 2: Calculate the initial velocity (u):
Using the equation of motion, we have:
v = u + a * t
Since the car is decelerating, the final velocity will be less than the initial velocity. So, v = 0 m/s.
0 = u + a * 1500
Step 3: Calculate the deceleration (a):
We know that the distance traveled can be calculated using the equation:
S = ut + (1/2) * a * t^2
Substituting the values:
0.3 = u * 1500 + (1/2) * a * (1500)^2
Simplifying this equation will give us the value of a.
Step 4: Solve the equations simultaneously to find the values of u and a.
Using the equation from Step 2:
0 = u + a * 1500
And the equation from Step 3:
0.3 = u * 1500 + (1/2) * a * (1500)^2
We can substitute the value of u from the first equation into the second equation to solve for a.
0.3 = (-a * 1500) * 1500 + (1/2) * a * (1500)^2
Simplifying and solving this equation will give us the value of a.
Once you have the value of a, you can substitute it back into the first equation to find the initial velocity u.
Note: The calculation will involve solving a quadratic equation, so you may need to use a calculator or algebraic method to find the values of u and a.