Question

The horizontal velocity of Serena's tennis serve is measured as 112 mi/h (50 m/s). Horizontally, the ball travels 82 ft (25 m) before reaching Venus (Serena's opponent). If the ball didn't slow down when it bounced or because of air resistance, how long would it take to reach Venus?

Answer 1

Using the formula t = d/v, where d is the distance (25 m) and v is the velocity (50 m/s), it is calculated that Serena's serve would take 0.5 seconds to reach Venus.

Step-by-step explanation:

The student has asked how long it would take for a tennis serve with a horizontal velocity of 50 m/s to travel a distance of 25 m. To calculate the time, the formula t = d/v (where t is time, d is distance, and v is velocity) can be used. In this case, the tennis serve travels 25 meters at a velocity of 50 meters per second.

Therefore, the time t it takes the ball to reach Venus can be calculated as:

t = d/v = 25 m / 50 m/s = 0.5 seconds.

This means that, ignoring air resistance and assuming the ball doesn't slow down, it would take half a second for Serena's serve to reach Venus.