Question

A car with an initial velocity of 10.8 km/h experiences an acceleration of - 0.82 m/s2

for 2.0 s.
(a) Calculate the car’s final speed.
(b) What is the car’s displacement?

Answer 1

The car's final speed is 1.36 m/s and the car's displacement is 2.72 m.

Step-by-step explanation:

(a) Calculate the car's final speed:

Given:

• Initial velocity, u = 10.8 km/h = 10.8 × (1000/3600) m/s = 3 m/s
• Acceleration, a = -0.82 m/s²
• Time, t = 2.0 s

Using the formula for final velocity:

v = u + at

Substituting the values:

v = 3 + (-0.82)(2)

v = 3 + (-1.64)

v = 1.36 m/s

Therefore, the car's final speed is 1.36 m/s.

(b) Calculate the car's displacement:

Using the formula for displacement:

s = ut + (1/2)at²

Substituting the values:

s = (3)(2) + (1/2)(-0.82)(2)²

s = 6 + (-0.82)(4)

s = 6 + (-3.28)

s = 2.72 m

Therefore, the car's displacement is 2.72 m.