Question

A football player starts from rest 10 meters from the goal line and accelerates away from the goal line at 5m/s. How far from the goal line is the player after 4 s?!

A. 6 m
B. 30 m
C. 40 m
D. 50 m
E. 60 m

Answer 1

The football player is 40 meters from the goal line after 4 seconds of accelerating at 5 m/s^2 from rest, corresponding to answer option C.

Step-by-step explanation:

The question relates to the concept of kinematics, which is a part of Physics. It deals with the movement of objects and uses equations of motion to predict the future position of an object based on its current state.

The football player starts from rest and accelerates at 5 m/s away from the goal line. We need to calculate the player's displacement after 4 seconds. The kinematic equation for displacement 's' when starting from rest and moving with a constant acceleration 'a' for a time 't' is:

s = ut + 1/2 at^2

Since the initial velocity 'u' is 0 (starts from rest), the equation simplifies to:

s = 1/2 at^2

Substituting the given values, we get:

s = (1/2) * 5 m/s^2 * (4 s)^2

s = (1/2) * 5 * 16

s = 40 m

The football player is 40 meters from the goal line after 4 seconds. This means the correct answer is C. 40 m.