Question

A car is initially moving at 100 m/s and decides to gun it. They accelerate at a rate of 20 m/s/s for 10 seconds. How far did they travel during this time period?

Answer 1

dx = 2000 [m]

Step-by-step explanation:

To solve this problem we must use the following equation of kinematics.

`dx =v_(o)*t +(1)/(2) *a*t^(2)`

where:

dx = distance [m]

Vo = initial velocity = 100 [m/s]

a = acceleration = 20 [m/s²]

t = time = 10 [s]

dx = 100*10 + 0.5*20*10²

dx = 2000 [m]

Note: the positive sign in the above equation means that the car is increasing its velocity.