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The trajectory of an object is defined as x = (t - 4)2, what is the velocity at t = 5?
- a)2
- b)5
- c)1
- d)4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The trajectory of an object is defined as x = (t - 4)2, what is the ve...
The function for velocity can be derived by differentiating the equation with respect to t. v = 2(t - 4) is the required function. When t = 5, v = 2(5 - 4) = 2.
Most Upvoted Answer
The trajectory of an object is defined as x = (t - 4)2, what is the ve...
Given Data:
The trajectory of the object is defined as x = (t - 4)^2.
Velocity Calculation:
To calculate the velocity of the object at t = 5, we need to find the derivative of the trajectory function with respect to time (t).
Taking the derivative of x = (t - 4)^2 with respect to t, we get:
dx/dt = 2(t - 4) * (d/dt)(t - 4)
dx/dt = 2(t - 4)
Now, substitute t = 5 into the derivative to find the velocity at t = 5:
dx/dt = 2(5 - 4)
dx/dt = 2
Therefore, the velocity of the object at t = 5 is 2.
Conclusion:
The velocity of the object at t = 5 is 2. Hence, the correct answer is option 'A'.
The trajectory of the object is defined as x = (t - 4)^2.
Velocity Calculation:
To calculate the velocity of the object at t = 5, we need to find the derivative of the trajectory function with respect to time (t).
Taking the derivative of x = (t - 4)^2 with respect to t, we get:
dx/dt = 2(t - 4) * (d/dt)(t - 4)
dx/dt = 2(t - 4)
Now, substitute t = 5 into the derivative to find the velocity at t = 5:
dx/dt = 2(5 - 4)
dx/dt = 2
Therefore, the velocity of the object at t = 5 is 2.
Conclusion:
The velocity of the object at t = 5 is 2. Hence, the correct answer is option 'A'.
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The trajectory of an object is defined as x = (t - 4)2, what is the velocity at t = 5?a)2b)5c)1d)4Correct answer is option 'A'. Can you explain this answer?
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