1. A car initially traveling at 10 m / s accelerates at a constant rate of 2 m / s^2. Find the

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1. A car initially traveling at \( 10 \mathrm{~m} / \mathrm{s} \) accelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \). Find the time it takes for the car to come to a stop and the distance it travels during this time. 2. A car accelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) for 6 seconds. Find the initial velocity \( (u) \) and the displacement (s) of the car during this time. 3. A car accelerates from rest at a constant rate of \( 3 \mathrm{~m} / \mathrm{s}^{2} \) for a certain distance and then decelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) until it comes to a stop. If the total distance covered by the car during these motions is 120 meters, find both the final and initial velocities of the car. 4. A lunar lander is making its descent to Moon Base I. The lander descends slowly under the retrothrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a downward speed of \( 0.8 \mathrm{~m} / \mathrm{s} \). With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is \( 1.6 \mathrm{~m} / \mathrm{s}^{2} \) 5. An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower's hand. Ignore air resistance. (a) What is the initial speed of the egg? (b) How high does it rise above its starting point? (c) What is the magnitude of its velocity at the highest point? (d) What are the magnitude and direction of its acceleration at the highest point?

          1. A car initially traveling at \( 10 \mathrm{~m} / \mathrm{s} \) accelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \). Find the time it takes for the car to come to a stop and the distance it travels during this time.
2. A car accelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) for 6 seconds. Find the initial velocity \( (u) \) and the displacement (s) of the car during this time.
3. A car accelerates from rest at a constant rate of \( 3 \mathrm{~m} / \mathrm{s}^{2} \) for a certain distance and then decelerates at a constant rate of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) until it comes to a stop. If the total distance covered by the car during these motions is 120 meters, find both the final and initial velocities of the car.
4. A lunar lander is making its descent to Moon Base I. The lander descends slowly under the retrothrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a downward speed of \( 0.8 \mathrm{~m} / \mathrm{s} \). With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is \( 1.6 \mathrm{~m} / \mathrm{s}^{2} \) 5. An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower's hand. Ignore air resistance. (a) What is the initial speed of the egg? (b) How high does it rise above its starting point? (c) What is the magnitude of its velocity at the highest point? (d) What are the magnitude and direction of its acceleration at the highest point?

1. A car initially traveling at 10 m / s accelerates at a constant rate of 2 m / s^2. Find the time it takes for the car to come to a stop and the distance it travels during this time.
2. A car accelerates at a constant rate of 2 m / s^2 for 6 seconds. Find the initial velocity (u) and the displacement (s) of the car during this time.
3. A car accelerates from rest at a constant rate of 3 m / s^2 for a certain distance and then decelerates at a constant rate of 2 m / s^2 until it comes to a stop. If the total distance covered by the car during these motions is 120 meters, find both the final and initial velocities of the car.
4. A lunar lander is making its descent to Moon Base I. The lander descends slowly under the retrothrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a downward speed of 0.8 m / s. With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is 1.6 m / s^2 5. An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower's hand. Ignore air resistance. (a) What is the initial speed of the egg? (b) How high does it rise above its starting point? (c) What is the magnitude of its velocity at the highest point? (d) What are the magnitude and direction of its acceleration at the highest point?

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