Answer:
t = 6.91 s
Explanation:
Given,
The initial velocity of the object, u = 64.0 m/s
The final velocity of the object, v = 26.8 m/s
The acceleration of the object, a = -5.38 m/s²
The formula for acceleration of the body is given by the relation
a = (v - u) /t m/s²
Solving for time
t = (v - u) / a s
Substituting the values in the in the above equation
t = (26.8 - 64) / -5.38
= 6.91 s
Hence, the time taken by the body is, t = 6.91 s
