Chapter 2
Question 5: The position of an object moving along an x axis isgiven by, where x is in meters and t is in seconds. Find theposition of the object at the following values of t: (a) 1 s, (b) 2s, (c) 3 s, and (d) 4 s. (e) What is the object’s displacementbetween and s? (f) What is its average velocity for the timeinterval from s to s?
Question 6: A pickup vehicle is moving with a speed of 15.00 m/s ona straight road. A scooterist wishes to overtake the pickup vehiclein 150.0s. If the pickup vehicle is at an initial distance of 1.500km from the scooterist, with what constant speed should thescooterist chase the pickup vehicle?
Question 7: A stone is thrown from the top of a building with aninitial velocity of 20 m/s downward. The top of the building is 60m above the ground. How much time elapses between the instant ofrelease and the instant of impact with the ground?
Question 8: Raindrops fall 1800 m from a cloud to the ground. (a)If they were not slowed by air resistance, how fast would the dropsbe moving when they struck the ground? (b) Would it be safe to walkoutside during a rainstorm?
Question 9: Rachel walks on a straight road from her home to agymnasium 2.80 km away with a speed of 6.00 km/h. As soon as shereaches the gymnasium, she immediately turns and walks back homewith a speed of 7.70 km/h, as she finds the gymnasium closed. Whatare the (a) magnitude of average velocity and (b) average speed ofRachel over the interval 0.00-35.0 min?
Question 10: A car m
oves uphill at 35 km/h and then back downhill at 60 km/h. What isthe average speed for the round trip?
Question 11: The displacement of a particle moving along an x-axisis given by , where x is in meters and t is in seconds. Calculate(a) the instantaneous velocity at and (b) the average velocitybetween and .