Answer to Question #246336 in Physics for Kath

Question

Determine what is asked. Show all pertinent parts of the solution (GUFSA), make sure to express your answer with correct number of significant figures.

1. Displacement at t = 3s to t = 5s
2. Velocity at t = 6s, considering that the initial velocity is 4m/s

Answer 1

Since there is no equation given, assume the acceleration is 5 m/s².

1. The displacement at 3 and 5 s (starting at 4 m/s):

$$d_3=v_0t_1+\frac{at_1^2}2,\\\space\\ d_5=v_0t_2+\frac{at_2^2}2,\\\space\\ \Delta d=d_5-d_3=77\text{ m}.$$

The velocity is

$$v=v_0+at=34\text{ m/s}.$$