Question

A pickup truck starts from rest and maintains a constant acceleration a0. After a time t0, the truck is moving with speed 25 m/s at a distance of 120 m from its starting point. When the truck has travelled a distance of 60 m from its starting point, its speed is v1 m/s.

Which of the following statements concerning v1 is true?
a. v1< 12.5m/s
b. v1= 12.5m/s
c. v1 >12.5m/s

Answer 1

the correct answer is c v₁> 12.5 m / s

Step-by-step explanation:

This is a one-dimensional kinematics exercise, let's start by finding the link to get up to speed.

v² = v₀² + 2 a₁ x

as part of rest v₀ = 0

a₁ = v² / 2x

a₁ = 25² / (2 120)

a₁ = 2.6 m / s²

now we can find the velocity for the distance x₂ = 60 m

v₁² = 0 + 2 a1 x₂

v₁ = Ra (2 2,6 60)

v₁ = 17.7 m / s

these the speed at 60 m

we see that the correct answer is c v₁> 12.5 m / s