Physics 1 - 1D Kinematics (Based on Textbook)

What is the displacement of a car moving from point A (xi = 30 m) to point B (xf = 52 m)?

Δx = 22 m

What is the displacement of a car moving from point C (xi = 30 m) to point F (xf = -45 m)?

Δx = -75 m

What is the displacement of a car moving from point A (xi = 30 m) to point C (xf = 30 m)?

Δx = 0 m

Calculate the average velocity of a car moving from point A (xi = 30 m, ti = 0 s) to point B (xf = 52 m, tf = 10 s).

v_avg = 2.2 m/s

What is the average velocity of a car moving from point A (xi = 30 m, ti = 0 s) to point C (xf = 30 m, tf = 20 s)?

v_avg = 0 m/s

What is the average velocity of a car moving from point B (xi = 52 m, ti = 10 s) to point D (xf = -10 m, tf = 30 s)?

v_avg = -3.1 m/s

Calculate the instantaneous velocity at t = 1.00 s for a car with positions x = 5.00 m at t = 1.00 s and x = 5.47 m at t = 1.01 s.

v = 47.0 m/s

What is the average speed of a rabbit running 4.0 km in 1.5 h?

v_avg = 2.7 km/h

What is the rabbit’s average speed before stopping for a 90-min nap, given it runs 0.5 km and finishes 4.0 km in 1.5 h, running twice as fast after the nap?

v_1 = 2.0 km/h

Estimate the average speed of the Apollo spacecraft traveling 3.84 × 10^8 m to the Moon in 5 days.

v_avg = 890 m/s

What is the path length traveled by a football player running from 0 yd to 100 yd and back to 0 yd?

Path length = 200 yd

What is the displacement of the football player running from 0 yd to 100 yd and back to 0 yd?

Δx = 0 yd

What is the average velocity in the x-direction of the football player running 200 yd in 25 s, starting and ending at x = 0 yd?

v_avg = 0 yd/s

What is the average speed of the football player running 200 yd in 25 s?

v_avg = 8.0 yd/s

Calculate the average acceleration of a car accelerating from vi = 10.0 m/s to vf = 20.0 m/s in 2.0 s.

a_avg = 5.0 m/s^2

Calculate the average acceleration of a car changing velocity from vi = -10.0 m/s to vf = -20.0 m/s in 2.0 s.

a_avg = -5.0 m/s^2

For a position vs. time graph, which graph in Figure 2.8 is not physically possible?

Graph (b)

In Figure 2.9b, which graph best shows the puck’s position as a function of time?

Dotted blue graph

In Figure 2.9c, which graph best shows the puck’s velocity as a function of time?

Solid orange graph

In Figure 2.9d, which graph best shows the puck’s acceleration as a function of time?

Dashed green graph

What is the average velocity of a train from t = 0 s to t = 12 s, given positions x = 0 m at t = 0 s and x = 10 m at t = 12 s?

v_avg = 0.833 m/s

What is the average velocity of a train from t = 0 s to t = 4 s, given positions x = 0 m at t = 0 s and x = 4 m at t = 4 s?

v_avg = 1.0 m/s

What is the average velocity of a train from t = 4 s to t = 8 s, given positions x = 4 m at t = 4 s and x = 4 m at t = 8 s?

v_avg = 0 m/s

What is the instantaneous velocity of a train at t = 2.0 s, given a constant velocity from t = 0 s to t = 4 s with x = 0 m at t = 0 s and x = 4 m at t = 4 s?

v = 1.0 m/s

What is the instantaneous velocity of a train at t = 10 s, given a tangent line intercepting x = 0 m at t = 3 s and x = 6.5 m at t = 12 s?

v = 0.722 m/s

What is the average velocity of a train from t = 0 s to t = 12 s, given positions x = 0 m at t = 0 s, x = 2 m at t = 4 s, x = 10 m at t = 8 s, and x = 0 m at t = 12 s?

v_avg = 0 m/s

What is the average and instantaneous velocity of a train from t = 0 s to t = 4 s, given x = 0 m at t = 0 s and x = 2 m at t = 4 s?

v_avg = v = 0.5 m/s

What is the approximate instantaneous velocity of a train at t = 1.0 s, given a graph with points (0, 4), (0.8, 2), (1, 1), (2, 2), (3, 3), (4, 3), (5, 3)?

v ≈ -12.5 m/s

What is the average and instantaneous velocity of a train at t = 4.0 s, given x = 3 m at t = 3 s and x = 3 m at t = 4 s?

v_avg = v = 0 m/s

What is the instantaneous acceleration at point A (t = 0 s to t = 1 s) for a baseball player with velocities v = 2 m/s at t = 1 s and v = 4 m/s at t = 2.5 s?

a = 2 m/s^2

What is the instantaneous acceleration at point B (t = 1 s to t = 2.5 s) for a baseball player with velocities v = 4 m/s at t = 2.5 s and v = 3 m/s at t = 3.5 s?

a = 0 m/s^2

What is the instantaneous acceleration at point C (t = 2.5 s to t = 4 s) for a baseball player with velocities v = 3 m/s at t = 3.5 s and v = 2 m/s at t = 4 s?

a = -2 m/s^2

What is the time elapsed for a race car starting from rest with a = 5.0 m/s^2 to reach v = 17.5 m/s?

t = 3.5 s

What is the distance traveled by a race car starting from rest with a = 5.0 m/s^2 to reach v = 17.5 m/s?

Δx = 30.6 m

What is the average velocity of a race car starting from rest with a = 5.0 m/s^2 to reach v = 17.5 m/s?

v_avg = 8.75 m/s

What is the velocity of a race car after traveling 100 m from rest with a = 5.0 m/s^2?

v = 31.6 m/s

What is the acceleration of an ice skater slowing from vi = 2.0 m/s to vf = 0 m/s in 5.0 s?

a = -0.4 m/s^2

What is the distance an ice skater glides while slowing from vi = 2.0 m/s to vf = 0 m/s in 5.0 s?

Δx = 5.0 m

What is the speed of an ice skater after gliding 2.0 m while slowing from vi = 2.0 m/s to vf = 0 m/s?

v = 1.55 m/s

How long does it take a trooper with a = 3.0 m/s^2 to overtake a car traveling at 24.0 m/s, starting 1.0 s after the car passes?

t = 16.9 s

What is the trooper’s speed when overtaking a car traveling at 24.0 m/s, with a = 3.0 m/s^2, starting 1.0 s after the car passes?

v = 50.7 m/s

What is the total displacement of a jetliner landing at 71.5 m/s, coasting for 1.0 s, then decelerating at -4.47 m/s^2 to rest?

Δx = 649 m

What is the peak acceleration of the Acela train from 60 mi/h to 150 mi/h in 50 s?

a = 1.8 (mi/h)/s

What is the displacement of the Acela train from t = 0 s to t = 100 s?

Δx = 2.42 mi

What is the average acceleration of the Acela train from t = 200 s to t = 300 s?

a_avg = -1.6 (mi/h)/s

What is the displacement of the Acela train from t = 200 s to t = 300 s?

Δx = 1.2 mi

What is the total displacement of the Acela train from t = 0 s to t = 400 s?

Δx = 2.67 mi

What is the time for a ball thrown upward at 20.0 m/s to reach its maximum height, with g = -9.80 m/s^2?

t = 2.04 s

What is the maximum height of a ball thrown upward at 20.0 m/s from y = 0 m, with g = -9.80 m/s^2?

y_max = 20.4 m

What is the time for a ball thrown upward at 20.0 m/s to return to its initial height, and its velocity at that time?

t = 4.08 s, v = -20.0 m/s

What is the time for a ball thrown upward at 20.0 m/s from y = 0 m to reach the ground at y = -50.0 m?

t = 5.83 s

What is the velocity and position of a ball at t = 5.0 s, thrown upward at 20.0 m/s from y = 0 m, with g = -9.80 m/s^2?

v = -29.0 m/s, y = -22.5 m

What is the maximum height of a projectile launched at 60.0 m/s from 75.0 m, with g = -9.80 m/s^2?

y_max = 183 m

What is the time for a projectile launched at 60.0 m/s from 75.0 m to hit the ground, with g = -9.80 m/s^2?

t = 13.9 s

What is the velocity of a projectile launched at 60.0 m/s from 75.0 m at impact, with g = -9.80 m/s^2?

v = -76.1 m/s

What is the velocity and position of a rocket after 4.0 s, starting from rest with a = 29.4 m/s^2?

v = 118 m/s, y = 235 m

What is the maximum height of a rocket starting from rest with a = 29.4 m/s^2 for 4.0 s, then free-falling with g = -9.80 m/s^2?

y_max = 707 m

What is the velocity of a rocket just before impact, starting from rest with a = 29.4 m/s^2 for 4.0 s, then free-falling?

v = -118 m/s