Consider a straight road of length L. A hospital is located at a point 0 <=...

Consider a straight road of length L. A hospital is located at a point 0 <= a <= L on the road. The hospital sends out an ambulance whenever an accident is reported on the road. If an accident occurs at a random point X that is uniformly distributed in the interval [0,L], find the distribution of the distance between the hospital and the point where the accident takes place.

Expert Solution

Distribution function derived from a uniform (0,L) density function

orchestra answered 1 year ago

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line...

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6), has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an equation for the position vector r(t) of the particle at time

A police car is located 70 feet to the side of a straight road. A red...

A police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 140 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 70 feet per second. How fast is the red car actually traveling along the road? The...

4. Consider bit strings with length l and weight k (so strings of l 0’s and...

4. Consider bit strings with length l and weight k (so strings of l 0’s and 1’s, including k 1’s). We know how to count the number of these for a ﬁxed l and k. Now, we will count the number of strings for which the sum of the length and the weight is ﬁxed. For example, let’s count all the bit strings for which l + k = 11. (a) Find examples of these strings of diﬀerent lengths. What...

at time t= 0 , a particle is located at the point (4,8,7). it travels in...

at time t= 0 , a particle is located at the point (4,8,7). it travels in a straight line to the point (7,1,6) has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. find an equation for the position vector r(t) of the particle at time t

Q3. Point charge q1 = 2.0 nC is located at (0, 0). What is the electric...

Q3. Point charge q1 = 2.0 nC is located at (0, 0). What is the electric potential at point A (2.0 cm,0)? What is the electric potential at point B (3.0 cm, 0)? What is the change of electric potential from A to B? What is the change of electric potential energy for a proton when it moves from A to B? What is the change of electric potential energy for an electron when it moves from A to B?...

A massless rod of length L = 2.3 m stands up straight, fixed to the ground...

A massless rod of length L = 2.3 m stands up straight, fixed to the ground by a bolt. A horizontal force of 8.2 N is applied at a vertical distance of L/2 to the right. To counter this force and keep the rod stationary, a wire is fixed at the top of the rod and attached to the ground some distance away to the left, making an angle of 45 degrees to the horizontal. a) What is the tension...

Point charge 1.5?C is located at x = 0, y = 0.30 m , point charge...

Point charge 1.5?C is located at x = 0, y = 0.30 m , point charge -1.5?C is located at x = 0 y = -0.30 m . What are (a)the magnitude and (b)direction of the total electric force that these charges exert on a third point charge Q = 5.0?C at x = 0.40 m , y = 0?

A point charge of - 4.00 nC is located at (0, 1.00) m. What is the...

A point charge of - 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, - 2.00) m?

Consider a road that is 93 kilometres long. You meet with an accident at a point...

Consider a road that is 93 kilometres long. You meet with an accident at a point which is uniformly distributed on the road. An ambulance is waiting at a location on the road, which is also uniformly distributed. It is safe to assume that these two random variables are independent. What is the expected distance between you and the ambulance at the time of the accident?

Consider driving a car in one direction along a straight road for 10 minutes. You start...

Consider driving a car in one direction along a straight road for 10 minutes. You start from rest. During the first 1 minute, you speed up with constant acceleration until you reach 60 m/s. During the next 5 minutes, you maintain constant speed at 60 m/s. During the final 4 minutes, you have constant negative acceleration (i.e. deceleration) until you are not moving. How far in total did you travel during the whole 10 minutes? Express your answer in units...

Question