Question:
A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t²-t, where t is in seconds and v is in m/s. Find the time interval for which the particle retards.
A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t²-t, where t is in seconds and v is in m/s. Find the time interval for which the particle retards.
Show Hint
Retardation means acceleration opposite to velocity.
Updated On: Mar 17, 2026
- (1)/(2)
- (1)/(2)>t>1
- (1)/(4)
- (1)/(2)Show Solution
Verified By CollegeduniaThe Correct Option is A
Solution and Explanation
Step 1: Acceleration,
a = (dv)/(dt) = 2t - 1
Step 2: Retardation occurs when velocity and acceleration have opposite signs.
Step 3: Solving gives,
1/2 < t < 1Was this answer helpful?00
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