Problem 34P

A particle’s acceleration is described by the function ax = (10 − 1) m/s2, where t is in s. Its initial conditions are x 0 = 0 m and v 0x = 0 m/s at t = 0 s.

a. At what time is the velocity again zero?

b. What is the particle’s position at that time?

Solution 34P

Step 1 of 2

Part a

We are required to calculate the time when the velocity will be zero.

The acceleration function is given as,

m/s2

When ,

Thus,

When the velocity is ,

s

The velocity will be zero when the time is t = 20 s.