Question

a. A tiger leaps from the ground into the air with a speed of 15.0 m/s at an angle of 20.0 degrees above the horizontal and then eventually lands back on the ground. Neglect air resistance. Find the total time the tiger is in the air.

b. An object is moving in a straight line such that its position is given by the equation x=4t+2t²+3 where x is in meters and t is in seconds. Find the average velocity between t=0 and t=3.00 seconds. Determine the instantaneous acceleration for all t.

c. Find the speed at which a car can safely round a curve of radius 70.0 meters on a flat road. The coefficient of friction between the tires and the road is 0.40.

d. A roller coaster starts from rest at the top of hill that is 40.0 meters high. Use energy methods to find the speed of the roller coaster at the bottom of the hill. Assume this portion of the track is frictionless.

Answer 1