Question

A car initially traveling at 34 m/s slams on the brakes and moves forward 136 m before coming to a complete rest. What was the magnitude of the car's negative acceleration?

Answer 1

The magnitude of the car's negative acceleration is -17 m/s^2.

Step-by-step explanation:

The magnitude of the car's negative acceleration can be determined using the formula:

a = (v_f - v_i) / t

Where:

• a is the acceleration
• v_f is the final velocity (0 m/s)
• v_i is the initial velocity (34 m/s)
• t is the time taken to come to a complete rest (unknown)

To find the time, we can use the formula for displacement:

d = v_i * t + (1/2) * a * t^2

Where:

• d is the displacement (136 m)
• v_i is the initial velocity (34 m/s)
• a is the acceleration (unknown)
• t is the time taken (unknown)

By substituting the known values and rearranging the equation, we can solve for the acceleration:

a = (0 - 34^2) / (-2 * 136)

a = -17 m/s^2