Question

In a football game the running back is running up the field. He starts from rest and runs 4 seconds with an acceleration of 1.3m/s^2.

What is the magnitude of his displacement

Answer 1

3.38m

Step-by-step explanation:

Given parameters:

Time = 4s

Acceleration = 1.3m/s²

Unknown:

Magnitude of the displacement = ?

Solution:

The body starts at rest and the initial velocity is 0m/s. To solve this problem, we have to use the expression below;

S = Ut +
`(1)/(2)`at²

S = displacement

t is the time

a is the acceleration

U is the initial velocity

V is the final velocity

Insert the parameters and solve;

S = (0 x 4) +
`(1)/(2)` x 1.3² x 4 = 3.38m