Question

The acceleration of a particle is defined by the relation a = -8 m/s?. Knowing that x = 20 m when t = 4 s and that x = 4 m when v = 16 m/s, determine (a) the time when the velocity is zero, (b) the velocity and the total distance traveled when t = 11 s.​

Answer 1

Explanation:

Table 1. Rotational Kinematic Equations

Rotational Translational

θ

=

¯

ω

t

x

=

¯

v

t

ω = ω0 + αt v = vo + at (constant α, a)

θ

=

ω

0

t

+

1

2

α

t

2

x

=

v

0

t

+

1

2

at

2

(constant α, a)

ω2 = ω02+ 2αθ v2 = vo2 + 2ax (constant