A rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet. What is the total are
1 answer:
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Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car () = 40 ft/sec
Deceleration of the car () = -10 ft/sec²
Final speed of the car () = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So,
Negative sign means the velocity is decreasing with time.
Now, using chain rule of differentiation. Therefore,
Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
Therefore, the car travels a distance of 80 feet before stopping.
Answer:
maximum height of the arrow will be 408 m
Step-by-step explanation:
We have given the function of height as
We know that first derivative of height will be velocity
So first derivative of height
We know that at maximum height velocity will be zero
t = 5 sec
Sp arrow will be at maximum height at t = 5 sec
So height at t = 5 sec will be
So maximum height of the arrow will be 408 m