Motion In A Straight Line

Calculate the Acceleration of the Car

We are given the following data:

• Initial velocity ( ) = 0 m/s (the car starts from rest)
• Final velocity ( ) = 25 m/s
• Time ( ) = 10 seconds

Step 1: Calculate the change in velocity

Step 2: Substitute into the formula for acceleration

Conclusion:

The acceleration of the car is .

The correct answer is:

Option 2: 2.5 m/s²

Given:

• Initial velocity:
• Angle of projection:
• Acceleration due to gravity:

Step 1: Calculate the vertical component of the initial velocity

The vertical component of the initial velocity is given by: Substituting the given values:

Step 2: Use the formula for maximum height

The formula for the maximum height reached by a projectile is: Substituting the values:

Step 3: Final Answer

The maximum height reached by the projectile is .

Given:

• Mass of the block:
• Applied force:
• Coefficient of friction:
• Acceleration due to gravity:

Step 1: Calculate the Normal Force

The normal force ( ) is equal to the weight of the block:

Step 2: Calculate the Frictional Force

The frictional force ( ) is given by:

Step 3: Calculate the Net Force

The net force ( ) is the applied force minus the frictional force:

Step 4: Calculate the Acceleration

Using Newton’s Second Law ( ):

✅ Final Answer:

The acceleration of the block is .