Classical Mechanics

1D Kinematics

Velocity vs. Acceleration


At time zero, a green car and a red car start from rest on a straight road from the same position in adjacent lanes. The green car moves with a constant speed of \( 21 \text{ m/s} \) and the red car accelerates uniformly at a rate of \( 1.5 \text{ m/s}^2 .\) Which car is ahead \( 10 \) seconds later?

A car initially at rest starts to travel on a straight road. The car starts moving with a constant acceleration of \( 12 \text{ m/s}^2. \) After accelerating for \( 4 \) seconds, the driver applies the brakes, and the car decelerates at a constant rate of \( -6 \text{ m/s}^2 .\) From the point the car's brakes are applied, how long does it take for the car to come to a complete stop?

A body rises vertically up to a height of \( 45 \text{ m} \) in \(3\) seconds, then falls back to the point of projection, with a constant acceleration during its entire movement. Assuming that the air resistance is negligible, is the following statement true or false?

"During its entire movement, the acceleration of the body is \( 6 \text{ m/s}^2,\) and its average velocity is \( 25 \text{ m/s}. \)"

Cars \( A \) and \( B \) are moving in the same direction in adjacent straight lanes. If car \( A \) has a bigger acceleration than car \( B, \) does it mean that car \( A \) is faster than car \( B? \)

Something that is accelerating is \(\text{_________}.\)


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