A scientific rover on Mars can launch small sensor modules with an initial speed of
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A scientific rover on Mars can launch small sensor modules with an initial speed of 18m s−1. The acceleration due to gravity on Mars is 3.71m s−2.
(a) Derive a general expression for the maximum horizontal range attainable on a planet where the acceleration due to gravity is gp.
(b) Using your expression from part (a), calculate the maximum range for the given launch speed on Mars.
(c) The rover must send a sensor across a trench that is 90m wide on level ground. Determine the minimum launch speed required to achieve this, assuming the optimum launch angle is used.
(d) State the value of the optimum launch angle and comment on whether it depends on the planetary value of gp.