Question

A body undergoing SHM about the origin has its equation is given by x =0.2 cos 5πt. Find its average speed from t = 0 to t = 0.7 sec.

Answer 1

Here x = 0.2 cos πt

Here ω = 5π

t = n × 0.1 + t₀ or 0.7 = n × 0.1 + t₀ 

 From this, n = 7 and t₀ = 0

But distance travelled in T/4 is A= 0.2 unit

∴ Total distance = 0.2 × 7 = 1.4 unit.