A car accelerates from rest at a rate of 2 m/s². How far does it travel in 10 se

A car accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A car accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

Step 1: Identify the initial velocity (u). Since the car starts from rest, u = 0 m/s.
Step 2: Identify the acceleration (a). The problem states that the car accelerates at a rate of 2 m/s², so a = 2 m/s².
Step 3: Identify the time (t). The car travels for 10 seconds, so t = 10 s.
Step 4: Use the formula for distance (s) traveled under constant acceleration: s = ut + (1/2)at².
Step 5: Substitute the values into the formula: s = 0 + (1/2)(2)(10²).
Step 6: Calculate 10², which is 100.
Step 7: Multiply (1/2) by 2, which gives 1.
Step 8: Multiply 1 by 100, which gives 100.
Step 9: Therefore, the car travels a distance of 100 meters.

Kinematics – The study of motion, specifically how objects move under the influence of forces, including concepts of acceleration, velocity, and displacement.
Equations of Motion – The use of kinematic equations to relate displacement, initial velocity, acceleration, and time in uniformly accelerated motion.