The change in momentum is 1000 kg * 20 m/s = 20000 kg·m/s. The average force is F = Δp/Δt = 20000 kg·m/s / 5 s = 4000 N.

Momentum p = mv = 1000 kg * 20 m/s = 20000 kg·m/s.

First, find the deceleration: a = (final velocity - initial velocity) / time = (0 - 20 m/s) / 5 s = -4 m/s². Then, F = ma = 1000 kg * 4 m/s² = 4000 N.

Total distance = 100 + 50 = 150 km. Total time = 2 + 1 = 3 hours. Average speed = Total distance / Total time = 150/3 = 50 km/h.

Average speed = total distance / total time = 100 m / 4 s = 25 m/s.

Average speed = total distance / total time = 100 m / 5 s = 20 m/s.

Displacement = √(100^2 + 100^2) = √20000 = 141.42 m.

Total distance = 150 + 100 = 250 km. Total time = 2 + 1 = 3 hours. Average speed = Total distance / Total time = 250 km / 3 hours = 83.33 km/h, which rounds to 80 km/h.

Speed = Distance/Time = 60 km/1 h = 60 km/h

Centripetal force (F_c) = mv²/r = 1000 kg * (15 m/s)² / 50 m = 4500 N.

Relative speed = Speed of car + Speed of truck = 90 km/h + 60 km/h = 150 km/h.

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km

Relative speed = 80 - 60 = 20 km/h. Distance apart after 1 hour = 20 km.

Relative speed = 80 - 60 = 20 km/h. Distance = speed * time = 20 * 2 = 40 km.

Minimum speed = Measured speed - Error = 60 - 2 = 58 km/h.

Absolute error = Relative error * Measured value = 0.05 * 60 = 3 km/h.

Number of hearts = 13. Probability = 13/52 = 1/4.

There are 26 red cards (hearts and diamonds). The probability of drawing a heart given that it is red is 13/26 = 1/2.

There are 26 red cards (hearts and diamonds). The probability of drawing a heart given that the card is red is 13/26 = 1/2.

There are 13 hearts and 4 queens, but one of the queens is a heart. Thus, the probability is (13 + 4 - 1)/52 = 16/52 = 4/13.

There are 13 hearts in a deck of 52 cards. The probability of drawing a heart is 13/52 = 1/4.

There are 4 queens in a deck of 52 cards. Probability = 4/52 = 1/13.

Using the formula A = P(1 + r)^n, we can set up the equation 3P = P(1 + r)^15. Solving for r gives approximately 6%.

The last term of an AP is given by a + (n-1)d. Here, 100 = 10 + (20-1)d. Solving gives d = 5.

Population after 3 years = 200,000 * (1 - 0.10)^3 = 200,000 * 0.729 = 145,800.

Expected affected = (1/200) × 1000 = 5 people.

Expected transmissions = 10% of 50 = 0.1 * 50 = 5 transmissions.

If R0 = 3, then 1 infected person can infect 3 others. Therefore, potential infections = 3 * 1 = 3 people.

Expected survivors = Total infected - (Mortality rate × Total infected) = 500 - (0.10 × 500) = 500 - 50 = 450.

This phenomenon is known as electromagnetic induction, where a changing magnetic field induces an electromotive force (EMF) in a conductor.