A bike rider starts from rest and accelerates 28.0 meters down a slope in 5.00 seconds. What is her acceleration?

Select one:

a. 3.21 m/sec2

b. 1.75 m/sec2

c. 9.80 m/sec2

d. 2.24 m/sec2

d. 2.24 m/s²

Explanation:

Acceleration: This is defined as the rate of change of velocity. The S. I unit of acceleration is meter per seconds squared. (m/s²). Acceleration is a vector quantity, and its is represented in one of newtons equation of motion.

which is expressed below.

S = ut + 1/2at² ... Equation 1

making a the subject of the equation above,

a = 2 (S-ut) / t² ... Equation 2

Where a = acceleration, S = distance, u = initial velocity, t = time taken

Given: s = 28 m, u = 0 (from rest), t = 5.00 s.

Substituting these values into equation 2

a = 2 (0*5 + 28) / 5²

a = 56/25

a = 2.24 m/s²

Therefore the acceleration of the body is 2.24 m/s²

The right option is d. 2.24 m/s²