Speed, Velocity, Acceleration & Momentum Review Speed Formula : Speed Triangle : Speed Definition : 1. A car travels 240 km in 3 hr. What is the speed of the car during that time? S= d/t 240km / 3h = 80 km/h 2. A man runs 100 meters in 60 seconds. What is his speed in meters per second? S = d/t 100 m / 60 s = 1.7 m/s 3. The speed of a cruise ship is 50 km/hr. How far will the ship travel in 14 hours? D=sxt 50 km/h X 14 h = 700 km 4. A car travels at 40 km/h in 3 hours. How many kilometers did it travel? D=sxt 40 km/h X 3 h = 120 km 5. How long will it take a pigeon flying at 2 m/s to travel 13 m? T = d/s 13 m / 2 m/s = 6.5 s 6. A man runs 200 meters in 15 meters per second. How many seconds does it take? T = d/s 200 m / 15 m/s = 13.3 s Velocity Formula : Velocity Triangle : Velocity Definition : 1. The cheetah can run a distance of 274 meters in 8.65 seconds in any direction at its top velocity. What is the cheetah’s top velocity if it was running south? V = d/t 274 m / 8.65 s = 31.7 m/s S 2. It takes a swimmer 98.34 seconds to swim the 100 meter length of pool going east. What was his velocity? V = d/t 100 m / 98.34 s = 1.0 m/s E 3. If the polar bear runs at a velocity of about 8.3 m/s N, how far will it travel in 18,000 seconds? D=vxt 8.3 m/s N x 18,000 s = 149,400 m 4. If the walrus can swim with a velocity of 9.7 m/s N, how far would it swim in 185 sec? D=vxt 9.7 m/s N x 185 s = 1794.5 m 5. When a tree sloth is moving up a tree trunk with a velocity of 0.743 m/s, how long would it take the sloth to travel 22.30 meters? T = d/v 22.3 m / .743 m/s up = 30 s 6. If a woman ran a distance of 10 0 meters with a velocity of 5.644 m/s S, what was her time T = d/v 100 m / 5.644 m/s S = 17.7 s Acceleration Formula : Acceleration Definition : 1. A car accelerates from 0 km/h north to 60 km/h north in 5.0 seconds. What is its acceleration? A = vf –vi / t 60 km/h N – 0 / 5 s = 12 km/h/s 2. The kangaroo stops at a lake for a drink of water, then starts hopping again to the south. After 5 seconds, the kangaroo is going 2.5 m/s south. What is the kangaroo’s acceleration? A = vf –vi / t 2.5 m/s S – 0 / 5 s = .5 m/s/s 3. What is the acceleration of an in-line skater who increases her velocity from 3.5 m/s forward to 6 m/s forward in 2 seconds? A = vf –vi / t 6 m/s forward – 3.5 m/s forward / 2 s = 1.3 m/m/s 4. A student’s track coach wants to know what Cindy’s acceleration is in the foot race. After 75 seconds, Cindy reached a velocity of .170 km/s south. What is her acceleration? A = vf –vi / t .17 km/s S – 0 / 75 s = .002 km/s/s Momentum Formula : Momentum Triangle : Momentum Definition : 1. What is the momentum of a 10 kg rock moving at 3 m/s E? P = mv 10 kg x 3 m/s E = 30 kg m/s E 2. What is the momentum of a 0.5 kg ball moving at 12 m/s W? P = mv 0.5 kg x 12 m/s W = 6 kg m/s W 3. A 2 kg toy truck is rolling along a level sidewalk at 3.5 m/s W. What is the momentum of the toy truck? P =mv 2 kg x 3.5 m/s W = 7 kg m/s W 4. A 1.4 kg bird is flying north with the momentum of 21.84 kg m/s north. What is the birds’ velocity? V = p/m 21.84 kg m/s N / 1.4 kg = 15.6 m/s N 5. What is the mass of a bowling ball in kg that is traveling down the bowling lane with the velocity of 24.8 m/s forward and a momentum of 37.2 kg m/s forward? M = p/v 37.2 kg m/s forward / 24.8 m/s forward = 1.5 kg