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 m/s 21 \text{ m/s} and the red car accelerates uniformly at a rate of 1.5 m/s2. 1.5 \text{ m/s}^2 . Which car is ahead 10 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 m/s2. 12 \text{ m/s}^2. After accelerating for 4 4 seconds, the driver applies the brakes, and the car decelerates at a constant rate of 6 m/s2. -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 m 45 \text{ m} in 33 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 m/s2, 6 \text{ m/s}^2, and its average velocity is 25 m/s. 25 \text{ m/s}. "

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

Something that is accelerating is _________.\text{\_\_\_\_\_\_\_\_\_}.


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