A body rravels 200cm in the first 2s and 220 cm in the next 5 s .calcu...
Calculation of Velocity at the End of the Seventh Second
Given:
- Distance traveled in the first 2 seconds = 200 cm
- Distance traveled in the next 5 seconds = 220 cm
Calculating the Average Velocity
The total distance traveled by the body in 7 seconds can be calculated as follows:
Total Distance = Distance in First 2 Seconds + Distance in Next 5 SecondsTotal Distance = 200 cm + 220 cm = 420 cmThe average velocity of the body can be calculated as:
Average Velocity = Total Distance / Total TimeAverage Velocity = 420 cm / 7 s = 60 cm/sCalculating the Final Velocity
Assuming that the body was moving with a constant acceleration, we can use the following equation:
Final Velocity = Initial Velocity + Acceleration x TimeSince the initial velocity is not given, we assume it to be zero.
Let's calculate the acceleration of the body:
Acceleration = Change in Velocity / Time TakenAcceleration = (Final Velocity - Initial Velocity) / Time TakenAcceleration = Final Velocity / 7 sWe know that the average velocity of the body is 60 cm/s. We can use this to find the final velocity:
Final Velocity = 2 x Average Velocity - Initial VelocitySince the initial velocity is zero, we can simplify the equation as:
Final Velocity = 2 x Average VelocityFinal Velocity = 2 x 60 cm/s = 120 cm/sConclusion
Therefore, the final velocity of the body at the end of the seventh second from the start is 120 cm/s.