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Velocity and acceleration. Measuring an objects motion. speed. Speed is calculated by dividing distance by time S = d/t 5.0 km/h 2.5 m/s 45 mph. velocity. Velocity is the same as speed, but you tell the direction of motion in the answer. v = d/t direction 5.0 km/h north 2.5 m/s forward
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Velocity and acceleration Measuring an objects motion
speed • Speed is calculated by dividing distance by time • S = d/t • 5.0 km/h • 2.5 m/s • 45 mph
velocity • Velocity is the same as speed, but you tell the direction of motion in the answer. • v = d/t direction • 5.0 km/h north • 2.5 m/s forward • 45 mph backwards
velocity • Find the velocity of a swimmer who swims exactly 110 m toward the shore in 72 seconds. • v= ? • d= 110 m • t= 72 s • v = d/t • v = 110 m / 72 s • v = 1.5 m/s forward
velocity • Find the velocity of a baseball thrown 38 m from third base to first base in 1.7 s. • v= ? • d= 38 m • t= 1.7 s • v = d/t • v = 38 m / 1.7 s • v = 22 m/s to first base
velocity • Calculate the distance in meters a cyclist would travel in 5.00 hours at an average velocity of 12.0 km/h southwest. • v= 12.0 km/h • d= ? m • t= 5.00 h • d = vt • d = 12.0 km/h X 5.00 h • d = 60 km • d = 60, 000 m
Velocity • Calculate the time in seconds an Olympic skier would take to finish a 2.6 km race at an average velocity of 28 m/s downhill. • v= 28 m/s • d= 2.6 km (2,600 meters) • t= ? s • t = d/v • t = 2600 m / 28 m/s • t = 93 s
acceleration • Acceleration measures the change in velocity. • Acceleration is measured in d/t2. • 45.7 m/s2 forward
acceleration Natalie accelerates her skateboard along a straight path from 0 m/s to 4.0 m/s in 2.5 seconds. What is her average acceleration? Vi = 0 m/s Vf = 4.0 m/s ∆t = 2.5 s a = ?
acceleration A turtle swimming in a straight line toward shore has a speed of 0.50 m/s. After 4.0 s, its speed is 0.80 m/s. What is the turtle’s acceleration? Vi = 0.50 m/s Vf = 0.80 m/s ∆t = 4.0 s a = ?
acceleration Marisa’s car accelerates at a rate of 2.6 m/s2. Calculate how long it takes her car to accelerate from 24.6 m/s to 26.8 m/s. Vi = 24.6 m/s Vf = 26.8 m/s ∆t = ? a = 2.6 m/s2