The diagram shows a projectile being launched at a velocity of 1.0 km s−1 at an angle of 30∘ to the horizontal. Assume that g = 9.8 m s−2 and that air resistance is negligible. a What is the time of flight of the projectile? b What is the speed of the projectile at its maximum height? c Determine the acceleration of the projectile 1.0 s after it is launched.
![A penguin of 7 kg stands at the edge of an ice cliff and dives into the ocean below. The penguin has an initial velocity of 5 ms−1 and at an angle of 60∘ with respect to the horizontal. The cliff is 15 m above the water level. Assume air resistance is negligible and take the value of the acceleration due to gravity as 9.81 ms−1. Calculate: a) The time it takes for the penguin to hit the water. [3 marks] b) The horizontal distance travelled by the penguin before hitting the water. [2 marks] c) The velocity of the penguin just before hitting the water. [3 marks] d) The momentum of the penguin in unit vector notation at the highest point (with respect to the water level) of its projectile. [2 marks] e) Supposed that upon splashing on the water, the magnitude of the vertical component of the velocity found in part (c) above is being reduced by half in 0.2 seconds while the horizontal component remained the same, determine the impulsive force experience by the penguin. [2 marks].](https://www.doubtrix.com/uploads/editor/7669666301lraWjZPvzV.jpg)
