Answer to Question #103854 in Physics for Destiny Lewis

Question

An object moving on the x axis with a con- stant acceleration increases its x coordinate by 232 m in a time of 2.69 s and has a velocity of 20 m/s at the end of this time.
Determine the acceleration of the object

Answer 1

The distance traveled by the object

$$d=\frac{v_i+v_f}{2}t,$$

so, the initial velocity

$$v_i=\frac{2d}{t}-v_f=\frac{2\times 232}{2.69}-20=152.5\:\rm m/s.$$

The acceleration of the object

$$a=\frac{v_f-v_i}{t}=\frac{20-152.5}{2.69}=-49.25\:\rm m/s^2.$$