Question

Please help solve:
A particle moves along a straight line with equation of motion s = t^{6} - 1 t^{5} Find the value of t (other than 0 ) at which the acceleration is equal to zero.

Answer 1

differentiate it twice and equate it to zero

http://www.wolframalpha.com/input/?i=d%5E2%28t%5E6%20-%20t%5E5%29%2Fdt%5E2&t=mfftb01

so you have either t=0 or t=2/3

Answer 2

thank you again, i wasn't sure if you differentiated just once or twice before