Question

Cleo the black lab runs to pick up a stick on the ground at location x = 3.0 m. The equation for motion of Cleo is x = -12.1 m +(5.2 m/s) *t. a)Where is Cleo at t = 1.6 s? At what time does Cleo reach the stick?

a. x=6.9m,t=1.6s
b. x=3.0m,t=6.9s
c. x=3.0m,t=6.0s
d. x=6.9m,t=3.0s

Answer 1

Cleo is at a position of x = 6.9 m at t = 1.6 s. Cleo reaches the stick at t = 6.9 s.

Step-by-step explanation:

To find Cleo's position at t = 1.6 s, we can plug in the value of t into the equation x = -12.1 m + (5.2 m/s) * t.

Substituting t = 1.6 s into the equation, we get:

x = -12.1 m + (5.2 m/s) * 1.6 s

Simplifying the equation, we find that Cleo is at a position of x = 6.9 m at t = 1.6 s.

To find the time when Cleo reaches the stick, we need to solve the equation x = 3.0 m.

Substituting x = 3.0 m into the equation, we get:

3.0 m = -12.1 m + (5.2 m/s) * t

Solving for t, we find that Cleo reaches the stick at t = 6.9 s.