Question

I'm trying to check my work. I'm usually able to go to the tutoring center and have some one look at it but with classes being online I can't. Please help!

1) The muscles in a grasshopper's legs can propel the insect upward at 3.3 m/s. How high can the grasshopper jump?

2) A jetliner touches down at 200 km/h , reverses its engines to provide braking, and comes to a halt 24 s later. What's the shortest runway on which this aircraft can land?

3) Starting from home, you bicycle 22 km north in 2.7 h and then turn around and pedal straight home in 1.7 h . What are your (a) displacement at the end of the first 2.7 h , (b) average velocity over the first 2.7 h , (c) average velocity for the homeward leg of the trip, (d) displacement for the entire trip, and (e) average velocity for the entire trip?

4) An airplane's takeoff speed is 280 km/h. If its average acceleration is 2.8 m/s^2 , how much time is it accelerating down the runway before it lifts off?

5) Starting from rest, a car accelerates at a constant rate, reaching 88 km/h in 17 s. (a) Find its acceleration. (b) Find how far does it goes in this time.

6) A delivery drone drops a well-cushioned package from a height of 15.7 m onto a customer’s porch. At what speed does the package hit the porch?

7) A diver drops from a 7.44-m high cliff. (a) At what speed does she enter the water? (b) How long is she in the air?

8) A foul ball leaves the bat going straight upward at 22 m/s. (a) How high does it rise? (b) How long is it in the air? Neglect the distance between the bat and the ground.

Answer 1