# Linear Motion at Constant Acceleration Problem

## Homework Statement

A cyclist starts at the top of a straight slope with an initial velocity of 3.00m/s. Five seconds later, she is at the bottom of the incline, having traveled 50.0m. Find her velocity at the bottom of the hill and her acceleration, assuming it to be constant.

## Homework Equations

$$\Delta$$x= V0 + .5at2

## The Attempt at a Solution

I tried to find the acceleration first.

I got:

a= (2*[deltaX - V-initia]l)/ T2

a= [2(50-3)]/25
I keep getting 3.76 as the acceleration but the books answer is 2.80m/s2

PhanthomJay
Homework Helper
Gold Member

## Homework Statement

A cyclist starts at the top of a straight slope with an initial velocity of 3.00m/s. Five seconds later, she is at the bottom of the incline, having traveled 50.0m. Find her velocity at the bottom of the hill and her acceleration, assuming it to be constant.

## Homework Equations

$$\Delta$$x= V0t + .5at2

I keep getting 3.76 as the acceleration but the books answer is 2.80m/s2